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Finding the Third Proportional to 222,006 and 485,484

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Solution

The third proportional to 222,006 and 485,484 is: 1,061,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,006 : 485,484 = 485,484 : x
  2. Step 2: Convert to fraction form
    222,006/485,484 = 485,484/x
  3. Step 3: Cross multiply
    222,006x = 485,484 × 485,484
  4. Step 4: Simplify right side
    222,006x = 235,694,714,256
  5. Step 5: Solve for x
    x = 235,694,714,256/222,006
  6. Step 6: Final answer
    x = 1,061,659.21

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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.