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Finding the Third Proportional to 658.69 and 996.47

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Solution

The third proportional to 658.69 and 996.47 is: 1,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 996.47 = 996.47 : x
  2. Step 2: Convert to fraction form
    658.69/996.47 = 996.47/x
  3. Step 3: Cross multiply
    658.69x = 996.47 × 996.47
  4. Step 4: Simplify right side
    658.69x = 992,949.97
  5. Step 5: Solve for x
    x = 992,949.97/658.69
  6. Step 6: Final answer
    x = 1,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.