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Finding the Third Proportional to 222,825.30 and 481,171.32

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Solution

The third proportional to 222,825.30 and 481,171.32 is: 1,039,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,825.30 : 481,171.32 = 481,171.32 : x
  2. Step 2: Convert to fraction form
    222,825.30/481,171.32 = 481,171.32/x
  3. Step 3: Cross multiply
    222,825.30x = 481,171.32 × 481,171.32
  4. Step 4: Simplify right side
    222,825.30x = 231,525,843,250.43
  5. Step 5: Solve for x
    x = 231,525,843,250.43/222,825.30
  6. Step 6: Final answer
    x = 1,039,046.46

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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.