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Finding the Third Proportional to 222,973.50 and 490,227

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Solution

The third proportional to 222,973.50 and 490,227 is: 1,077,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,973.50 : 490,227 = 490,227 : x
  2. Step 2: Convert to fraction form
    222,973.50/490,227 = 490,227/x
  3. Step 3: Cross multiply
    222,973.50x = 490,227 × 490,227
  4. Step 4: Simplify right side
    222,973.50x = 240,322,511,529
  5. Step 5: Solve for x
    x = 240,322,511,529/222,973.50
  6. Step 6: Final answer
    x = 1,077,807.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.