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Finding the Third Proportional to 222,684 and 467,250

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Solution

The third proportional to 222,684 and 467,250 is: 980,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,684 : 467,250 = 467,250 : x
  2. Step 2: Convert to fraction form
    222,684/467,250 = 467,250/x
  3. Step 3: Cross multiply
    222,684x = 467,250 × 467,250
  4. Step 4: Simplify right side
    222,684x = 218,322,562,500
  5. Step 5: Solve for x
    x = 218,322,562,500/222,684
  6. Step 6: Final answer
    x = 980,414.23

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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.