* USDA projects US corn, soy harvests and end-of-season stocks below trade expectations
* Forecasts spark rally in corn and soybeans after prolonged decline
* Wheat follows corn and soy higher, but gains tempered by higher global supply outlook
CHICAGO, - US soybeans surged on Tuesday after the US Department of Agriculture raised its US harvest outlook by less than expected in a monthly report and projected tighter supplies in the year ahead.
Corn futures also rallied as the USDA cut its US production and stocks forecasts by more than expected. Wheat futures followed corn and soybeans higher, though gains were limited by expectations for larger global supplies due to big crops in the southern hemisphere.