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Finding the Third Proportional to 203,455.50 and 441,936.75

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Solution

The third proportional to 203,455.50 and 441,936.75 is: 959,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,455.50 : 441,936.75 = 441,936.75 : x
  2. Step 2: Convert to fraction form
    203,455.50/441,936.75 = 441,936.75/x
  3. Step 3: Cross multiply
    203,455.50x = 441,936.75 × 441,936.75
  4. Step 4: Simplify right side
    203,455.50x = 195,308,091,000.56
  5. Step 5: Solve for x
    x = 195,308,091,000.56/203,455.50
  6. Step 6: Final answer
    x = 959,954.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.