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Finding the Third Proportional to 231,912.25 and 498,883.50

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Solution

The third proportional to 231,912.25 and 498,883.50 is: 1,073,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,912.25 : 498,883.50 = 498,883.50 : x
  2. Step 2: Convert to fraction form
    231,912.25/498,883.50 = 498,883.50/x
  3. Step 3: Cross multiply
    231,912.25x = 498,883.50 × 498,883.50
  4. Step 4: Simplify right side
    231,912.25x = 248,884,746,572.25
  5. Step 5: Solve for x
    x = 248,884,746,572.25/231,912.25
  6. Step 6: Final answer
    x = 1,073,184.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.