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Finding the Third Proportional to 222,678 and 467,238

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Solution

The third proportional to 222,678 and 467,238 is: 980,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,678 : 467,238 = 467,238 : x
  2. Step 2: Convert to fraction form
    222,678/467,238 = 467,238/x
  3. Step 3: Cross multiply
    222,678x = 467,238 × 467,238
  4. Step 4: Simplify right side
    222,678x = 218,311,348,644
  5. Step 5: Solve for x
    x = 218,311,348,644/222,678
  6. Step 6: Final answer
    x = 980,390.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.