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Finding the Third Proportional to 231,832.13 and 488,571.75

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Solution

The third proportional to 231,832.13 and 488,571.75 is: 1,029,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832.13 : 488,571.75 = 488,571.75 : x
  2. Step 2: Convert to fraction form
    231,832.13/488,571.75 = 488,571.75/x
  3. Step 3: Cross multiply
    231,832.13x = 488,571.75 × 488,571.75
  4. Step 4: Simplify right side
    231,832.13x = 238,702,354,898.06
  5. Step 5: Solve for x
    x = 238,702,354,898.06/231,832.13
  6. Step 6: Final answer
    x = 1,029,634.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.