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Finding the Third Proportional to 513,691 and 681,610

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Solution

The third proportional to 513,691 and 681,610 is: 904,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,691 : 681,610 = 681,610 : x
  2. Step 2: Convert to fraction form
    513,691/681,610 = 681,610/x
  3. Step 3: Cross multiply
    513,691x = 681,610 × 681,610
  4. Step 4: Simplify right side
    513,691x = 464,592,192,100
  5. Step 5: Solve for x
    x = 464,592,192,100/513,691
  6. Step 6: Final answer
    x = 904,419.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.