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Finding the Third Proportional to 415,080 and 634,665

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Solution

The third proportional to 415,080 and 634,665 is: 970,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,080 : 634,665 = 634,665 : x
  2. Step 2: Convert to fraction form
    415,080/634,665 = 634,665/x
  3. Step 3: Cross multiply
    415,080x = 634,665 × 634,665
  4. Step 4: Simplify right side
    415,080x = 402,799,662,225
  5. Step 5: Solve for x
    x = 402,799,662,225/415,080
  6. Step 6: Final answer
    x = 970,414.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.