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Finding the Third Proportional to 203,920 and 444,704

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Solution

The third proportional to 203,920 and 444,704 is: 969,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920 : 444,704 = 444,704 : x
  2. Step 2: Convert to fraction form
    203,920/444,704 = 444,704/x
  3. Step 3: Cross multiply
    203,920x = 444,704 × 444,704
  4. Step 4: Simplify right side
    203,920x = 197,761,647,616
  5. Step 5: Solve for x
    x = 197,761,647,616/203,920
  6. Step 6: Final answer
    x = 969,800.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.