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Finding the Third Proportional to 231,845.49 and 504,517.83

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Solution

The third proportional to 231,845.49 and 504,517.83 is: 1,097,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,845.49 : 504,517.83 = 504,517.83 : x
  2. Step 2: Convert to fraction form
    231,845.49/504,517.83 = 504,517.83/x
  3. Step 3: Cross multiply
    231,845.49x = 504,517.83 × 504,517.83
  4. Step 4: Simplify right side
    231,845.49x = 254,538,244,808.27
  5. Step 5: Solve for x
    x = 254,538,244,808.27/231,845.49
  6. Step 6: Final answer
    x = 1,097,878.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.