Finding the Third Proportional to 261,672 and 415,026
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Solution
The third proportional to 261,672 and 415,026 is: 658,253.77
Step by Step Solution
- Step 1: Write the proportion equation
261,672 : 415,026 = 415,026 : x - Step 2: Convert to fraction form
261,672/415,026 = 415,026/x - Step 3: Cross multiply
261,672x = 415,026 × 415,026 - Step 4: Simplify right side
261,672x = 172,246,580,676 - Step 5: Solve for x
x = 172,246,580,676/261,672 - Step 6: Final answer
x = 658,253.77
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.