Finding the Third Proportional to 288,045 and 451,872
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Solution
The third proportional to 288,045 and 451,872 is: 708,876.41
Step by Step Solution
- Step 1: Write the proportion equation
288,045 : 451,872 = 451,872 : x - Step 2: Convert to fraction form
288,045/451,872 = 451,872/x - Step 3: Cross multiply
288,045x = 451,872 × 451,872 - Step 4: Simplify right side
288,045x = 204,188,304,384 - Step 5: Solve for x
x = 204,188,304,384/288,045 - Step 6: Final answer
x = 708,876.41
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.