Answer
169.284 people per square mile.
Work Step by Step
Subtract exponents when dividing powers with the same base.
$\frac{7.33\times10^6}{4.33\times10^4}$
Simplify the exponent.
$=\frac{733}{433}\times10^2$
Divide. Round to the nearest thousandth.
$\approx 1.6928 \times 10^2$
$=169.284$
The population density of Honduras was about 169.284 people per square mile.