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Finding the Third Proportional to 516.88 and 537.13

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Solution

The third proportional to 516.88 and 537.13 is: 558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 537.13 = 537.13 : x
  2. Step 2: Convert to fraction form
    516.88/537.13 = 537.13/x
  3. Step 3: Cross multiply
    516.88x = 537.13 × 537.13
  4. Step 4: Simplify right side
    516.88x = 288,503.27
  5. Step 5: Solve for x
    x = 288,503.27/516.88
  6. Step 6: Final answer
    x = 558.17

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.