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Finding the Third Proportional to 613.69 and 676.13

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Solution

The third proportional to 613.69 and 676.13 is: 744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 676.13 = 676.13 : x
  2. Step 2: Convert to fraction form
    613.69/676.13 = 676.13/x
  3. Step 3: Cross multiply
    613.69x = 676.13 × 676.13
  4. Step 4: Simplify right side
    613.69x = 457,145.02
  5. Step 5: Solve for x
    x = 457,145.02/613.69
  6. Step 6: Final answer
    x = 744.91

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.