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Finding the Third Proportional to 381,081.75 and 828,594.75

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Solution

The third proportional to 381,081.75 and 828,594.75 is: 1,801,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.75 : 828,594.75 = 828,594.75 : x
  2. Step 2: Convert to fraction form
    381,081.75/828,594.75 = 828,594.75/x
  3. Step 3: Cross multiply
    381,081.75x = 828,594.75 × 828,594.75
  4. Step 4: Simplify right side
    381,081.75x = 686,569,259,727.56
  5. Step 5: Solve for x
    x = 686,569,259,727.56/381,081.75
  6. Step 6: Final answer
    x = 1,801,632.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.