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Finding the Third Proportional to 222,554 and 494,860

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Solution

The third proportional to 222,554 and 494,860 is: 1,100,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,554 : 494,860 = 494,860 : x
  2. Step 2: Convert to fraction form
    222,554/494,860 = 494,860/x
  3. Step 3: Cross multiply
    222,554x = 494,860 × 494,860
  4. Step 4: Simplify right side
    222,554x = 244,886,419,600
  5. Step 5: Solve for x
    x = 244,886,419,600/222,554
  6. Step 6: Final answer
    x = 1,100,346.07

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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.