Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters ($c{m}^2$), and the surface area of right rectangular prism Y is 1,450 $c{m}^2$. The volume of right rectangular prism Y is 1,250 cubic centimeters ($c{m}^3$). What is the sum of the volumes, in $c{m}^3$, of right rectangular prism X and right rectangular prism Y?