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Finding the Third Proportional to 227,996 and 494,932.50

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Solution

The third proportional to 227,996 and 494,932.50 is: 1,074,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,996 : 494,932.50 = 494,932.50 : x
  2. Step 2: Convert to fraction form
    227,996/494,932.50 = 494,932.50/x
  3. Step 3: Cross multiply
    227,996x = 494,932.50 × 494,932.50
  4. Step 4: Simplify right side
    227,996x = 244,958,179,556.25
  5. Step 5: Solve for x
    x = 244,958,179,556.25/227,996
  6. Step 6: Final answer
    x = 1,074,396.83

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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.