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Finding the Third Proportional to 222,538 and 494,832

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Solution

The third proportional to 222,538 and 494,832 is: 1,100,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,538 : 494,832 = 494,832 : x
  2. Step 2: Convert to fraction form
    222,538/494,832 = 494,832/x
  3. Step 3: Cross multiply
    222,538x = 494,832 × 494,832
  4. Step 4: Simplify right side
    222,538x = 244,858,708,224
  5. Step 5: Solve for x
    x = 244,858,708,224/222,538
  6. Step 6: Final answer
    x = 1,100,300.66

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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.