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Finding the Third Proportional to 222,544 and 494,843

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Solution

The third proportional to 222,544 and 494,843 is: 1,100,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,544 : 494,843 = 494,843 : x
  2. Step 2: Convert to fraction form
    222,544/494,843 = 494,843/x
  3. Step 3: Cross multiply
    222,544x = 494,843 × 494,843
  4. Step 4: Simplify right side
    222,544x = 244,869,594,649
  5. Step 5: Solve for x
    x = 244,869,594,649/222,544
  6. Step 6: Final answer
    x = 1,100,319.91

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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.