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Finding the Third Proportional to 222,928 and 451,616

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Solution

The third proportional to 222,928 and 451,616 is: 914,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,928 : 451,616 = 451,616 : x
  2. Step 2: Convert to fraction form
    222,928/451,616 = 451,616/x
  3. Step 3: Cross multiply
    222,928x = 451,616 × 451,616
  4. Step 4: Simplify right side
    222,928x = 203,957,011,456
  5. Step 5: Solve for x
    x = 203,957,011,456/222,928
  6. Step 6: Final answer
    x = 914,900.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.