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Finding the Third Proportional to 226,331 and 491,605

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Solution

The third proportional to 226,331 and 491,605 is: 1,067,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,331 : 491,605 = 491,605 : x
  2. Step 2: Convert to fraction form
    226,331/491,605 = 491,605/x
  3. Step 3: Cross multiply
    226,331x = 491,605 × 491,605
  4. Step 4: Simplify right side
    226,331x = 241,675,476,025
  5. Step 5: Solve for x
    x = 241,675,476,025/226,331
  6. Step 6: Final answer
    x = 1,067,796.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.