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Finding the Third Proportional to 512.72 and 766.55

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Solution

The third proportional to 512.72 and 766.55 is: 1,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 766.55 = 766.55 : x
  2. Step 2: Convert to fraction form
    512.72/766.55 = 766.55/x
  3. Step 3: Cross multiply
    512.72x = 766.55 × 766.55
  4. Step 4: Simplify right side
    512.72x = 587,594.11
  5. Step 5: Solve for x
    x = 587,594.11/512.72
  6. Step 6: Final answer
    x = 1,146.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.