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Finding the Third Proportional to 726.38 and 971.44

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Solution

The third proportional to 726.38 and 971.44 is: 1,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.38 : 971.44 = 971.44 : x
  2. Step 2: Convert to fraction form
    726.38/971.44 = 971.44/x
  3. Step 3: Cross multiply
    726.38x = 971.44 × 971.44
  4. Step 4: Simplify right side
    726.38x = 943,690.82
  5. Step 5: Solve for x
    x = 943,690.82/726.38
  6. Step 6: Final answer
    x = 1,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.