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Finding the Third Proportional to 222,930 and 451,620

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Solution

The third proportional to 222,930 and 451,620 is: 914,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,930 : 451,620 = 451,620 : x
  2. Step 2: Convert to fraction form
    222,930/451,620 = 451,620/x
  3. Step 3: Cross multiply
    222,930x = 451,620 × 451,620
  4. Step 4: Simplify right side
    222,930x = 203,960,624,400
  5. Step 5: Solve for x
    x = 203,960,624,400/222,930
  6. Step 6: Final answer
    x = 914,908.83

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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.