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Finding the Third Proportional to 516.13 and 1,074.88

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Solution

The third proportional to 516.13 and 1,074.88 is: 2,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.13 : 1,074.88 = 1,074.88 : x
  2. Step 2: Convert to fraction form
    516.13/1,074.88 = 1,074.88/x
  3. Step 3: Cross multiply
    516.13x = 1,074.88 × 1,074.88
  4. Step 4: Simplify right side
    516.13x = 1,155,356.27
  5. Step 5: Solve for x
    x = 1,155,356.27/516.13
  6. Step 6: Final answer
    x = 2,238.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.