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Finding the Third Proportional to 222,680 and 467,242

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Solution

The third proportional to 222,680 and 467,242 is: 980,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,680 : 467,242 = 467,242 : x
  2. Step 2: Convert to fraction form
    222,680/467,242 = 467,242/x
  3. Step 3: Cross multiply
    222,680x = 467,242 × 467,242
  4. Step 4: Simplify right side
    222,680x = 218,315,086,564
  5. Step 5: Solve for x
    x = 218,315,086,564/222,680
  6. Step 6: Final answer
    x = 980,398.27

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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.