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Finding the Third Proportional to 659.11 and 1,414.97

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Solution

The third proportional to 659.11 and 1,414.97 is: 3,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.11 : 1,414.97 = 1,414.97 : x
  2. Step 2: Convert to fraction form
    659.11/1,414.97 = 1,414.97/x
  3. Step 3: Cross multiply
    659.11x = 1,414.97 × 1,414.97
  4. Step 4: Simplify right side
    659.11x = 2,002,136.56
  5. Step 5: Solve for x
    x = 2,002,136.56/659.11
  6. Step 6: Final answer
    x = 3,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.