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Finding the Third Proportional to 222,542 and 494,839

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Solution

The third proportional to 222,542 and 494,839 is: 1,100,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,542 : 494,839 = 494,839 : x
  2. Step 2: Convert to fraction form
    222,542/494,839 = 494,839/x
  3. Step 3: Cross multiply
    222,542x = 494,839 × 494,839
  4. Step 4: Simplify right side
    222,542x = 244,865,635,921
  5. Step 5: Solve for x
    x = 244,865,635,921/222,542
  6. Step 6: Final answer
    x = 1,100,312.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.