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Finding the Third Proportional to 538.27 and 752.91

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Solution

The third proportional to 538.27 and 752.91 is: 1,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.27 : 752.91 = 752.91 : x
  2. Step 2: Convert to fraction form
    538.27/752.91 = 752.91/x
  3. Step 3: Cross multiply
    538.27x = 752.91 × 752.91
  4. Step 4: Simplify right side
    538.27x = 566,867.82
  5. Step 5: Solve for x
    x = 566,867.82/538.27
  6. Step 6: Final answer
    x = 1,053.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.