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Finding the Third Proportional to 724.22 and 1,150.73

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Solution

The third proportional to 724.22 and 1,150.73 is: 1,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.22 : 1,150.73 = 1,150.73 : x
  2. Step 2: Convert to fraction form
    724.22/1,150.73 = 1,150.73/x
  3. Step 3: Cross multiply
    724.22x = 1,150.73 × 1,150.73
  4. Step 4: Simplify right side
    724.22x = 1,324,189.60
  5. Step 5: Solve for x
    x = 1,324,189.60/724.22
  6. Step 6: Final answer
    x = 1,828.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.