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Finding the Third Proportional to 424.38 and 658.88

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Solution

The third proportional to 424.38 and 658.88 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 658.88 = 658.88 : x
  2. Step 2: Convert to fraction form
    424.38/658.88 = 658.88/x
  3. Step 3: Cross multiply
    424.38x = 658.88 × 658.88
  4. Step 4: Simplify right side
    424.38x = 434,116.27
  5. Step 5: Solve for x
    x = 434,116.27/424.38
  6. Step 6: Final answer
    x = 1,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.