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Finding the Third Proportional to 222,944 and 485,252

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Solution

The third proportional to 222,944 and 485,252 is: 1,056,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,944 : 485,252 = 485,252 : x
  2. Step 2: Convert to fraction form
    222,944/485,252 = 485,252/x
  3. Step 3: Cross multiply
    222,944x = 485,252 × 485,252
  4. Step 4: Simplify right side
    222,944x = 235,469,503,504
  5. Step 5: Solve for x
    x = 235,469,503,504/222,944
  6. Step 6: Final answer
    x = 1,056,182.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.