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Finding the Third Proportional to 580.29 and 766.97

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Solution

The third proportional to 580.29 and 766.97 is: 1,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 766.97 = 766.97 : x
  2. Step 2: Convert to fraction form
    580.29/766.97 = 766.97/x
  3. Step 3: Cross multiply
    580.29x = 766.97 × 766.97
  4. Step 4: Simplify right side
    580.29x = 588,241.06
  5. Step 5: Solve for x
    x = 588,241.06/580.29
  6. Step 6: Final answer
    x = 1,013.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.