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Finding the Third Proportional to 653.38 and 1,414.97

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Solution

The third proportional to 653.38 and 1,414.97 is: 3,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 1,414.97 = 1,414.97 : x
  2. Step 2: Convert to fraction form
    653.38/1,414.97 = 1,414.97/x
  3. Step 3: Cross multiply
    653.38x = 1,414.97 × 1,414.97
  4. Step 4: Simplify right side
    653.38x = 2,002,136.56
  5. Step 5: Solve for x
    x = 2,002,136.56/653.38
  6. Step 6: Final answer
    x = 3,064.28

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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.