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Finding the Third Proportional to 726.94 and 996.56

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Solution

The third proportional to 726.94 and 996.56 is: 1,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 996.56 = 996.56 : x
  2. Step 2: Convert to fraction form
    726.94/996.56 = 996.56/x
  3. Step 3: Cross multiply
    726.94x = 996.56 × 996.56
  4. Step 4: Simplify right side
    726.94x = 993,136.82
  5. Step 5: Solve for x
    x = 993,136.82/726.94
  6. Step 6: Final answer
    x = 1,366.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.