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Finding the Third Proportional to 814.13 and 1,067.06

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Solution

The third proportional to 814.13 and 1,067.06 is: 1,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,067.06 = 1,067.06 : x
  2. Step 2: Convert to fraction form
    814.13/1,067.06 = 1,067.06/x
  3. Step 3: Cross multiply
    814.13x = 1,067.06 × 1,067.06
  4. Step 4: Simplify right side
    814.13x = 1,138,622.38
  5. Step 5: Solve for x
    x = 1,138,622.38/814.13
  6. Step 6: Final answer
    x = 1,398.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.