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Finding the Third Proportional to 382.69 and 580.97

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Solution

The third proportional to 382.69 and 580.97 is: 881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 580.97 = 580.97 : x
  2. Step 2: Convert to fraction form
    382.69/580.97 = 580.97/x
  3. Step 3: Cross multiply
    382.69x = 580.97 × 580.97
  4. Step 4: Simplify right side
    382.69x = 337,524.69
  5. Step 5: Solve for x
    x = 337,524.69/382.69
  6. Step 6: Final answer
    x = 881.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.