FYI, the "half-length" the calculations ask for, in your case, would be 450' and 110', as the electricity has to take a return trip down back the same wire, so the actual electrical length required for calculating voltage drop would be twice that.
We need more information to calculate the wire size. Namely what is the expected load on the panel. It would not be practical to size the wire for a 200a. load and try to maintain the 240/120v. status. Once we know the "load" we need to know what voltage drop you can tolerate. Then there are formulae for giving you the wire size.
Oh wow, there's going to be some SERIOUS kick-down when that motor starts. What's the locked-rotor current for that motor?
This is a textbook case where you're probably better off stepping up to a higher voltage and stepping back down. Any chance of getting your service at 480V and using a 480V motor? This will eliminate the need for two 72kVA transformers. You can throw on a small transformer for the 120V loads, and come out WAY ahead in copper.
I agree with Steve. Consider also getting a separate drop from the utility company. Getting that much power over that distance is extremely expensive. Get an engineer to figure your wire size if you can't get the utility to give you a separate drop. I could figure it out but I think you'd end up with xformers as the best route if the utility can't accommodate you with a drop.