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Finding the Third Proportional to 656.16 and 1,414.97

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Solution

The third proportional to 656.16 and 1,414.97 is: 3,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 1,414.97 = 1,414.97 : x
  2. Step 2: Convert to fraction form
    656.16/1,414.97 = 1,414.97/x
  3. Step 3: Cross multiply
    656.16x = 1,414.97 × 1,414.97
  4. Step 4: Simplify right side
    656.16x = 2,002,136.56
  5. Step 5: Solve for x
    x = 2,002,136.56/656.16
  6. Step 6: Final answer
    x = 3,051.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.