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Finding the Third Proportional to 461,704 and 693,892

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Solution

The third proportional to 461,704 and 693,892 is: 1,042,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,704 : 693,892 = 693,892 : x
  2. Step 2: Convert to fraction form
    461,704/693,892 = 693,892/x
  3. Step 3: Cross multiply
    461,704x = 693,892 × 693,892
  4. Step 4: Simplify right side
    461,704x = 481,486,107,664
  5. Step 5: Solve for x
    x = 481,486,107,664/461,704
  6. Step 6: Final answer
    x = 1,042,845.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.