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Finding the Third Proportional to 726.75 and 1,087.88

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Solution

The third proportional to 726.75 and 1,087.88 is: 1,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,087.88 = 1,087.88 : x
  2. Step 2: Convert to fraction form
    726.75/1,087.88 = 1,087.88/x
  3. Step 3: Cross multiply
    726.75x = 1,087.88 × 1,087.88
  4. Step 4: Simplify right side
    726.75x = 1,183,472.02
  5. Step 5: Solve for x
    x = 1,183,472.02/726.75
  6. Step 6: Final answer
    x = 1,628.44

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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.