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