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Finding the Third Proportional to 222,831 and 481,169

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Solution

The third proportional to 222,831 and 481,169 is: 1,039,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,831 : 481,169 = 481,169 : x
  2. Step 2: Convert to fraction form
    222,831/481,169 = 481,169/x
  3. Step 3: Cross multiply
    222,831x = 481,169 × 481,169
  4. Step 4: Simplify right side
    222,831x = 231,523,606,561
  5. Step 5: Solve for x
    x = 231,523,606,561/222,831
  6. Step 6: Final answer
    x = 1,039,009.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.