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Finding the Third Proportional to 588.75 and 769.13

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Solution

The third proportional to 588.75 and 769.13 is: 1,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 769.13 = 769.13 : x
  2. Step 2: Convert to fraction form
    588.75/769.13 = 769.13/x
  3. Step 3: Cross multiply
    588.75x = 769.13 × 769.13
  4. Step 4: Simplify right side
    588.75x = 591,553.27
  5. Step 5: Solve for x
    x = 591,553.27/588.75
  6. Step 6: Final answer
    x = 1,004.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.