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Finding the Third Proportional to 484.88 and 726.19

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Solution

The third proportional to 484.88 and 726.19 is: 1,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 726.19 = 726.19 : x
  2. Step 2: Convert to fraction form
    484.88/726.19 = 726.19/x
  3. Step 3: Cross multiply
    484.88x = 726.19 × 726.19
  4. Step 4: Simplify right side
    484.88x = 527,348.29
  5. Step 5: Solve for x
    x = 527,348.29/484.88
  6. Step 6: Final answer
    x = 1,087.60

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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.