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Finding the Third Proportional to 382.38 and 516.94

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Solution

The third proportional to 382.38 and 516.94 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 516.94 = 516.94 : x
  2. Step 2: Convert to fraction form
    382.38/516.94 = 516.94/x
  3. Step 3: Cross multiply
    382.38x = 516.94 × 516.94
  4. Step 4: Simplify right side
    382.38x = 267,224.38
  5. Step 5: Solve for x
    x = 267,224.38/382.38
  6. Step 6: Final answer
    x = 698.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.