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Finding the Third Proportional to 222,546 and 494,847

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Solution

The third proportional to 222,546 and 494,847 is: 1,100,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,546 : 494,847 = 494,847 : x
  2. Step 2: Convert to fraction form
    222,546/494,847 = 494,847/x
  3. Step 3: Cross multiply
    222,546x = 494,847 × 494,847
  4. Step 4: Simplify right side
    222,546x = 244,873,553,409
  5. Step 5: Solve for x
    x = 244,873,553,409/222,546
  6. Step 6: Final answer
    x = 1,100,327.81

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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.