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Finding the Third Proportional to 576.56 and 748.13

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Solution

The third proportional to 576.56 and 748.13 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 748.13 = 748.13 : x
  2. Step 2: Convert to fraction form
    576.56/748.13 = 748.13/x
  3. Step 3: Cross multiply
    576.56x = 748.13 × 748.13
  4. Step 4: Simplify right side
    576.56x = 559,691.02
  5. Step 5: Solve for x
    x = 559,691.02/576.56
  6. Step 6: Final answer
    x = 970.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.