Hmmm....well, its' been a long time since I grew any amount of production corn and beans. But, I still have a professional interest in watching what everyone does...and I don't see that its changed much except to get a little more sophisticated in some corners and less so in others. I guess that's a riddle. I know some of the big guys here have so many acres they don't think much about getting down to the prescription level while others do. Is there a difference in their checkbooks? Don't know.
When I did it, my fertilizer applications were based on soil and tissue test results (more soil than tissue), the price of fertilizers, the outlook for prices, and expected yields. My goal was to keep levels of P & K in the high range, but I wasn't too proud and was willing to "mine" the soil when the economics were out of wack. I'm saying nothing you don't know. The guiding principle was to fertilizer to replace the nutrients removed by the crop and the add enough, if necessary, to get the "bank" back to something approaching high to very high P, K, sulphur and boron. It works on the soils I deal with. Maybe not on other types.
In a corn bean rotation get it all down ahead of the corn crop. Around here, traditionally, DAP (18-46-0) was the cheapest way to add phosphorous with nitrogen tagging along at a minimal unit cost. The rest of the nitrogen for the corn crop gets top dressed at the appropriate time, amounts based on yield prospects. Did I mention corn is a dicy prospect in these parts. I always used elemental born and sulphur if the situation demanded it.
If I had to close my eyes and just do it, I'd blend 100 lbs of urea, 150 lbs of DAP and 300 lbs of potash to get something like 75-70-180. Then, top dress up to 100 lbs of N from UAN assuming a 150 bu corn yield. Adjust it up or down as appropriate. Some of you will be horrified at that amount of urea, but it never bothered me.
Then, the soybeans should have enough to grow a decent crop. But, remember, i'm assuming we are starting at and staying close to high levels of P & K and the economics of input costs and market prices are decent.