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Finding the Third Proportional to 681.75 and 754.13

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Solution

The third proportional to 681.75 and 754.13 is: 834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 754.13 = 754.13 : x
  2. Step 2: Convert to fraction form
    681.75/754.13 = 754.13/x
  3. Step 3: Cross multiply
    681.75x = 754.13 × 754.13
  4. Step 4: Simplify right side
    681.75x = 568,704.52
  5. Step 5: Solve for x
    x = 568,704.52/681.75
  6. Step 6: Final answer
    x = 834.18

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.