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Finding the Third Proportional to 222,228.56 and 488,764.13

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Solution

The third proportional to 222,228.56 and 488,764.13 is: 1,074,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,228.56 : 488,764.13 = 488,764.13 : x
  2. Step 2: Convert to fraction form
    222,228.56/488,764.13 = 488,764.13/x
  3. Step 3: Cross multiply
    222,228.56x = 488,764.13 × 488,764.13
  4. Step 4: Simplify right side
    222,228.56x = 238,890,369,887.02
  5. Step 5: Solve for x
    x = 238,890,369,887.02/222,228.56
  6. Step 6: Final answer
    x = 1,074,975.99

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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.