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Finding the Third Proportional to 514.88 and 772.88

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Solution

The third proportional to 514.88 and 772.88 is: 1,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 772.88 = 772.88 : x
  2. Step 2: Convert to fraction form
    514.88/772.88 = 772.88/x
  3. Step 3: Cross multiply
    514.88x = 772.88 × 772.88
  4. Step 4: Simplify right side
    514.88x = 597,335.77
  5. Step 5: Solve for x
    x = 597,335.77/514.88
  6. Step 6: Final answer
    x = 1,160.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.