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Finding the Third Proportional to 381.50 and 781.13

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Solution

The third proportional to 381.50 and 781.13 is: 1,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 781.13 = 781.13 : x
  2. Step 2: Convert to fraction form
    381.50/781.13 = 781.13/x
  3. Step 3: Cross multiply
    381.50x = 781.13 × 781.13
  4. Step 4: Simplify right side
    381.50x = 610,156.27
  5. Step 5: Solve for x
    x = 610,156.27/381.50
  6. Step 6: Final answer
    x = 1,599.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.