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Finding the Third Proportional to 418.13 and 814.31

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Solution

The third proportional to 418.13 and 814.31 is: 1,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 814.31 = 814.31 : x
  2. Step 2: Convert to fraction form
    418.13/814.31 = 814.31/x
  3. Step 3: Cross multiply
    418.13x = 814.31 × 814.31
  4. Step 4: Simplify right side
    418.13x = 663,104.85
  5. Step 5: Solve for x
    x = 663,104.85/418.13
  6. Step 6: Final answer
    x = 1,585.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.