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Finding the Third Proportional to 840,233.25 and 1,260,960.75

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Solution

The third proportional to 840,233.25 and 1,260,960.75 is: 1,892,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,233.25 : 1,260,960.75 = 1,260,960.75 : x
  2. Step 2: Convert to fraction form
    840,233.25/1,260,960.75 = 1,260,960.75/x
  3. Step 3: Cross multiply
    840,233.25x = 1,260,960.75 × 1,260,960.75
  4. Step 4: Simplify right side
    840,233.25x = 1,590,022,013,040.56
  5. Step 5: Solve for x
    x = 1,590,022,013,040.56/840,233.25
  6. Step 6: Final answer
    x = 1,892,357.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.