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Finding the Third Proportional to 331.69 and 487.83

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Solution

The third proportional to 331.69 and 487.83 is: 717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.69 : 487.83 = 487.83 : x
  2. Step 2: Convert to fraction form
    331.69/487.83 = 487.83/x
  3. Step 3: Cross multiply
    331.69x = 487.83 × 487.83
  4. Step 4: Simplify right side
    331.69x = 237,976.28
  5. Step 5: Solve for x
    x = 237,976.28/331.69
  6. Step 6: Final answer
    x = 717.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.