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Finding the Third Proportional to 227,943.75 and 494,524.50

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Solution

The third proportional to 227,943.75 and 494,524.50 is: 1,072,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,943.75 : 494,524.50 = 494,524.50 : x
  2. Step 2: Convert to fraction form
    227,943.75/494,524.50 = 494,524.50/x
  3. Step 3: Cross multiply
    227,943.75x = 494,524.50 × 494,524.50
  4. Step 4: Simplify right side
    227,943.75x = 244,554,481,100.25
  5. Step 5: Solve for x
    x = 244,554,481,100.25/227,943.75
  6. Step 6: Final answer
    x = 1,072,872.06

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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.