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Finding the Third Proportional to 222,096 and 485,616

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Solution

The third proportional to 222,096 and 485,616 is: 1,061,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,096 : 485,616 = 485,616 : x
  2. Step 2: Convert to fraction form
    222,096/485,616 = 485,616/x
  3. Step 3: Cross multiply
    222,096x = 485,616 × 485,616
  4. Step 4: Simplify right side
    222,096x = 235,822,899,456
  5. Step 5: Solve for x
    x = 235,822,899,456/222,096
  6. Step 6: Final answer
    x = 1,061,806.15

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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.