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Finding the Third Proportional to 331.88 and 724.69

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Solution

The third proportional to 331.88 and 724.69 is: 1,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.88 : 724.69 = 724.69 : x
  2. Step 2: Convert to fraction form
    331.88/724.69 = 724.69/x
  3. Step 3: Cross multiply
    331.88x = 724.69 × 724.69
  4. Step 4: Simplify right side
    331.88x = 525,171.97
  5. Step 5: Solve for x
    x = 525,171.97/331.88
  6. Step 6: Final answer
    x = 1,582.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.