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Finding the Third Proportional to 222,078 and 488,443.50

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Solution

The third proportional to 222,078 and 488,443.50 is: 1,074,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,078 : 488,443.50 = 488,443.50 : x
  2. Step 2: Convert to fraction form
    222,078/488,443.50 = 488,443.50/x
  3. Step 3: Cross multiply
    222,078x = 488,443.50 × 488,443.50
  4. Step 4: Simplify right side
    222,078x = 238,577,052,692.25
  5. Step 5: Solve for x
    x = 238,577,052,692.25/222,078
  6. Step 6: Final answer
    x = 1,074,293.95

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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.