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Finding the Third Proportional to 706.13 and 769.13

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Solution

The third proportional to 706.13 and 769.13 is: 837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 769.13 = 769.13 : x
  2. Step 2: Convert to fraction form
    706.13/769.13 = 769.13/x
  3. Step 3: Cross multiply
    706.13x = 769.13 × 769.13
  4. Step 4: Simplify right side
    706.13x = 591,553.27
  5. Step 5: Solve for x
    x = 591,553.27/706.13
  6. Step 6: Final answer
    x = 837.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.