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Finding the Third Proportional to 222,233 and 479,215

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Solution

The third proportional to 222,233 and 479,215 is: 1,033,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,233 : 479,215 = 479,215 : x
  2. Step 2: Convert to fraction form
    222,233/479,215 = 479,215/x
  3. Step 3: Cross multiply
    222,233x = 479,215 × 479,215
  4. Step 4: Simplify right side
    222,233x = 229,647,016,225
  5. Step 5: Solve for x
    x = 229,647,016,225/222,233
  6. Step 6: Final answer
    x = 1,033,361.45

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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.