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Finding the Third Proportional to 461,727 and 693,927

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Solution

The third proportional to 461,727 and 693,927 is: 1,042,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,727 : 693,927 = 693,927 : x
  2. Step 2: Convert to fraction form
    461,727/693,927 = 693,927/x
  3. Step 3: Cross multiply
    461,727x = 693,927 × 693,927
  4. Step 4: Simplify right side
    461,727x = 481,534,681,329
  5. Step 5: Solve for x
    x = 481,534,681,329/461,727
  6. Step 6: Final answer
    x = 1,042,899.12

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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.