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Finding the Third Proportional to 222,104 and 485,632

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Solution

The third proportional to 222,104 and 485,632 is: 1,061,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,104 : 485,632 = 485,632 : x
  2. Step 2: Convert to fraction form
    222,104/485,632 = 485,632/x
  3. Step 3: Cross multiply
    222,104x = 485,632 × 485,632
  4. Step 4: Simplify right side
    222,104x = 235,838,439,424
  5. Step 5: Solve for x
    x = 235,838,439,424/222,104
  6. Step 6: Final answer
    x = 1,061,837.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.