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Finding the Third Proportional to 511.31 and 766.97

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Solution

The third proportional to 511.31 and 766.97 is: 1,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 766.97 = 766.97 : x
  2. Step 2: Convert to fraction form
    511.31/766.97 = 766.97/x
  3. Step 3: Cross multiply
    511.31x = 766.97 × 766.97
  4. Step 4: Simplify right side
    511.31x = 588,241.06
  5. Step 5: Solve for x
    x = 588,241.06/511.31
  6. Step 6: Final answer
    x = 1,150.45

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Why These Related Problems?

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