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Finding the Third Proportional to 726.38 and 1,589.44

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Solution

The third proportional to 726.38 and 1,589.44 is: 3,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.38 : 1,589.44 = 1,589.44 : x
  2. Step 2: Convert to fraction form
    726.38/1,589.44 = 1,589.44/x
  3. Step 3: Cross multiply
    726.38x = 1,589.44 × 1,589.44
  4. Step 4: Simplify right side
    726.38x = 2,526,311.57
  5. Step 5: Solve for x
    x = 2,526,311.57/726.38
  6. Step 6: Final answer
    x = 3,477.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.