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Finding the Third Proportional to 231,823.50 and 494,266.50

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Solution

The third proportional to 231,823.50 and 494,266.50 is: 1,053,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,823.50 : 494,266.50 = 494,266.50 : x
  2. Step 2: Convert to fraction form
    231,823.50/494,266.50 = 494,266.50/x
  3. Step 3: Cross multiply
    231,823.50x = 494,266.50 × 494,266.50
  4. Step 4: Simplify right side
    231,823.50x = 244,299,373,022.25
  5. Step 5: Solve for x
    x = 244,299,373,022.25/231,823.50
  6. Step 6: Final answer
    x = 1,053,816.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.