1. We are given the formula $$R=\frac{x^2}{y}$$ and values $$x=2.9 \times 10^5$$ and $$y=6.2 \times 10^4$$. 2. Substitute the given values into the formula: $$R=\frac{(2.9 \times 10^5)^2}{6.2 \times 10^4}$$ 3. Square $$x$$: $$ (2.9 \times 10^5)^2 = (2.9)^2 \times (10^5)^2 = 8.41 \times 10^{10} $$ 4. Substitute back: $$ R = \frac{8.41 \times 10^{10}}{6.2 \times 10^4} $$ 5. Divide coefficients and subtract exponents: $$ R = \left(\frac{8.41}{6.2}\right) \times 10^{10-4} = 1.358 \times 10^6 $$ 6. Round to appropriate significant figures (given values have 2 sig figs): $$ R \approx 1.4 \times 10^6 $$ Final answer: $$R = 1.4 \times 10^6$$ in standard form with 2 significant figures.