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Finding the Third Proportional to 222,939 and 485,244

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Solution

The third proportional to 222,939 and 485,244 is: 1,056,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939 : 485,244 = 485,244 : x
  2. Step 2: Convert to fraction form
    222,939/485,244 = 485,244/x
  3. Step 3: Cross multiply
    222,939x = 485,244 × 485,244
  4. Step 4: Simplify right side
    222,939x = 235,461,739,536
  5. Step 5: Solve for x
    x = 235,461,739,536/222,939
  6. Step 6: Final answer
    x = 1,056,171.15

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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.