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Finding the Third Proportional to 844.13 and 1,200.38

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Solution

The third proportional to 844.13 and 1,200.38 is: 1,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.13 : 1,200.38 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    844.13/1,200.38 = 1,200.38/x
  3. Step 3: Cross multiply
    844.13x = 1,200.38 × 1,200.38
  4. Step 4: Simplify right side
    844.13x = 1,440,900.14
  5. Step 5: Solve for x
    x = 1,440,900.14/844.13
  6. Step 6: Final answer
    x = 1,706.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.