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Finding the Third Proportional to 222,548 and 494,851

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Solution

The third proportional to 222,548 and 494,851 is: 1,100,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,548 : 494,851 = 494,851 : x
  2. Step 2: Convert to fraction form
    222,548/494,851 = 494,851/x
  3. Step 3: Cross multiply
    222,548x = 494,851 × 494,851
  4. Step 4: Simplify right side
    222,548x = 244,877,512,201
  5. Step 5: Solve for x
    x = 244,877,512,201/222,548
  6. Step 6: Final answer
    x = 1,100,335.71

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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.