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Finding the Third Proportional to 514.75 and 588.13

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Solution

The third proportional to 514.75 and 588.13 is: 671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.75 : 588.13 = 588.13 : x
  2. Step 2: Convert to fraction form
    514.75/588.13 = 588.13/x
  3. Step 3: Cross multiply
    514.75x = 588.13 × 588.13
  4. Step 4: Simplify right side
    514.75x = 345,891.02
  5. Step 5: Solve for x
    x = 345,891.02/514.75
  6. Step 6: Final answer
    x = 671.96

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.