Finding the Third Proportional to 415,956 and 669,870
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Solution
The third proportional to 415,956 and 669,870 is: 1,078,781.93
Step by Step Solution
- Step 1: Write the proportion equation
415,956 : 669,870 = 669,870 : x - Step 2: Convert to fraction form
415,956/669,870 = 669,870/x - Step 3: Cross multiply
415,956x = 669,870 × 669,870 - Step 4: Simplify right side
415,956x = 448,725,816,900 - Step 5: Solve for x
x = 448,725,816,900/415,956 - Step 6: Final answer
x = 1,078,781.93
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.