Finding the Third Proportional to 465,434 and 711,687
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Solution
The third proportional to 465,434 and 711,687 is: 1,088,228.16
Step by Step Solution
- Step 1: Write the proportion equation
465,434 : 711,687 = 711,687 : x - Step 2: Convert to fraction form
465,434/711,687 = 711,687/x - Step 3: Cross multiply
465,434x = 711,687 × 711,687 - Step 4: Simplify right side
465,434x = 506,498,385,969 - Step 5: Solve for x
x = 506,498,385,969/465,434 - Step 6: Final answer
x = 1,088,228.16
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.