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Finding the Third Proportional to 514.69 and 754.88

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Solution

The third proportional to 514.69 and 754.88 is: 1,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 754.88 = 754.88 : x
  2. Step 2: Convert to fraction form
    514.69/754.88 = 754.88/x
  3. Step 3: Cross multiply
    514.69x = 754.88 × 754.88
  4. Step 4: Simplify right side
    514.69x = 569,836.27
  5. Step 5: Solve for x
    x = 569,836.27/514.69
  6. Step 6: Final answer
    x = 1,107.15

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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.