Answer
$a \approx648$
$b \approx456$
$C= 28^\circ$
Work Step by Step
1. Find angle $C$ as $C=180^\circ-111^\circ-41.0^\circ=28^\circ$
2. Use the Law of Sines, we have $\frac{sinC}{c}=\frac{sinA}{a}=\frac{sinB}{b}$
3. We have $a=\frac{c\ sinA}{sinC}=\frac{326 sin111^\circ}{sin28^\circ}\approx648$
4. We have $b=\frac{c\ sinB}{sinC}=\frac{326 sin41^\circ}{sin28^\circ}\approx456$