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Finding the Third Proportional to 222,456.75 and 479,905.50

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Solution

The third proportional to 222,456.75 and 479,905.50 is: 1,035,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,456.75 : 479,905.50 = 479,905.50 : x
  2. Step 2: Convert to fraction form
    222,456.75/479,905.50 = 479,905.50/x
  3. Step 3: Cross multiply
    222,456.75x = 479,905.50 × 479,905.50
  4. Step 4: Simplify right side
    222,456.75x = 230,309,288,930.25
  5. Step 5: Solve for x
    x = 230,309,288,930.25/222,456.75
  6. Step 6: Final answer
    x = 1,035,299.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.