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Finding the Third Proportional to 331.75 and 721.17

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Solution

The third proportional to 331.75 and 721.17 is: 1,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 721.17 = 721.17 : x
  2. Step 2: Convert to fraction form
    331.75/721.17 = 721.17/x
  3. Step 3: Cross multiply
    331.75x = 721.17 × 721.17
  4. Step 4: Simplify right side
    331.75x = 520,084.65
  5. Step 5: Solve for x
    x = 520,084.65/331.75
  6. Step 6: Final answer
    x = 1,567.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.