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Finding the Third Proportional to 658.69 and 1,027.97

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Solution

The third proportional to 658.69 and 1,027.97 is: 1,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 1,027.97 = 1,027.97 : x
  2. Step 2: Convert to fraction form
    658.69/1,027.97 = 1,027.97/x
  3. Step 3: Cross multiply
    658.69x = 1,027.97 × 1,027.97
  4. Step 4: Simplify right side
    658.69x = 1,056,719.75
  5. Step 5: Solve for x
    x = 1,056,719.75/658.69
  6. Step 6: Final answer
    x = 1,604.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.