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Finding the Third Proportional to 513,704 and 681,632

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Solution

The third proportional to 513,704 and 681,632 is: 904,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,704 : 681,632 = 681,632 : x
  2. Step 2: Convert to fraction form
    513,704/681,632 = 681,632/x
  3. Step 3: Cross multiply
    513,704x = 681,632 × 681,632
  4. Step 4: Simplify right side
    513,704x = 464,622,183,424
  5. Step 5: Solve for x
    x = 464,622,183,424/513,704
  6. Step 6: Final answer
    x = 904,455.06

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Why These Related Problems?

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