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Finding the Third Proportional to 381,363.75 and 828,335.25

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Solution

The third proportional to 381,363.75 and 828,335.25 is: 1,799,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,363.75 : 828,335.25 = 828,335.25 : x
  2. Step 2: Convert to fraction form
    381,363.75/828,335.25 = 828,335.25/x
  3. Step 3: Cross multiply
    381,363.75x = 828,335.25 × 828,335.25
  4. Step 4: Simplify right side
    381,363.75x = 686,139,286,392.56
  5. Step 5: Solve for x
    x = 686,139,286,392.56/381,363.75
  6. Step 6: Final answer
    x = 1,799,172.80

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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.