Consider two identical rubber bands $($each $25\mathrm{.}0$ cm long in the unstretched state$).$ The bands are attached to one another at one end and are stretched to a total length of $75$ cm with the band on the left maintained at a temperature of $25$oC and the one on the right maintained at $300.$oC$.$

In the stretched $($and heated$)$ state, how long are each of the rubber bands?