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Finding the Third Proportional to 482.91 and 726.61

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Solution

The third proportional to 482.91 and 726.61 is: 1,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.91 : 726.61 = 726.61 : x
  2. Step 2: Convert to fraction form
    482.91/726.61 = 726.61/x
  3. Step 3: Cross multiply
    482.91x = 726.61 × 726.61
  4. Step 4: Simplify right side
    482.91x = 527,961.18
  5. Step 5: Solve for x
    x = 527,961.18/482.91
  6. Step 6: Final answer
    x = 1,093.30

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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.