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Finding the Third Proportional to 514.31 and 757.97

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Solution

The third proportional to 514.31 and 757.97 is: 1,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 757.97 = 757.97 : x
  2. Step 2: Convert to fraction form
    514.31/757.97 = 757.97/x
  3. Step 3: Cross multiply
    514.31x = 757.97 × 757.97
  4. Step 4: Simplify right side
    514.31x = 574,516.63
  5. Step 5: Solve for x
    x = 574,516.63/514.31
  6. Step 6: Final answer
    x = 1,117.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.