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Finding the Third Proportional to 222,138 and 479,756

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Solution

The third proportional to 222,138 and 479,756 is: 1,036,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138 : 479,756 = 479,756 : x
  2. Step 2: Convert to fraction form
    222,138/479,756 = 479,756/x
  3. Step 3: Cross multiply
    222,138x = 479,756 × 479,756
  4. Step 4: Simplify right side
    222,138x = 230,165,819,536
  5. Step 5: Solve for x
    x = 230,165,819,536/222,138
  6. Step 6: Final answer
    x = 1,036,138.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.