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Finding the Third Proportional to 676 and 767

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Solution

The third proportional to 676 and 767 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 767 = 767 : x
  2. Step 2: Convert to fraction form
    676/767 = 767/x
  3. Step 3: Cross multiply
    676x = 767 × 767
  4. Step 4: Simplify right side
    676x = 588,289
  5. Step 5: Solve for x
    x = 588,289/676
  6. Step 6: Final answer
    x = 870.25

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.