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Finding the Third Proportional to 442,892 and 687,670

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Solution

The third proportional to 442,892 and 687,670 is: 1,067,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,892 : 687,670 = 687,670 : x
  2. Step 2: Convert to fraction form
    442,892/687,670 = 687,670/x
  3. Step 3: Cross multiply
    442,892x = 687,670 × 687,670
  4. Step 4: Simplify right side
    442,892x = 472,890,028,900
  5. Step 5: Solve for x
    x = 472,890,028,900/442,892
  6. Step 6: Final answer
    x = 1,067,732.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.