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Finding the Third Proportional to 514.97 and 754.73

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Solution

The third proportional to 514.97 and 754.73 is: 1,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 754.73 = 754.73 : x
  2. Step 2: Convert to fraction form
    514.97/754.73 = 754.73/x
  3. Step 3: Cross multiply
    514.97x = 754.73 × 754.73
  4. Step 4: Simplify right side
    514.97x = 569,623.98
  5. Step 5: Solve for x
    x = 569,623.98/514.97
  6. Step 6: Final answer
    x = 1,106.13

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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.