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Finding the Third Proportional to 234,380.25 and 485,376.75

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Solution

The third proportional to 234,380.25 and 485,376.75 is: 1,005,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,380.25 : 485,376.75 = 485,376.75 : x
  2. Step 2: Convert to fraction form
    234,380.25/485,376.75 = 485,376.75/x
  3. Step 3: Cross multiply
    234,380.25x = 485,376.75 × 485,376.75
  4. Step 4: Simplify right side
    234,380.25x = 235,590,589,440.56
  5. Step 5: Solve for x
    x = 235,590,589,440.56/234,380.25
  6. Step 6: Final answer
    x = 1,005,164.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.