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Finding the Third Proportional to 381,477 and 828,498

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Solution

The third proportional to 381,477 and 828,498 is: 1,799,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,477 : 828,498 = 828,498 : x
  2. Step 2: Convert to fraction form
    381,477/828,498 = 828,498/x
  3. Step 3: Cross multiply
    381,477x = 828,498 × 828,498
  4. Step 4: Simplify right side
    381,477x = 686,408,936,004
  5. Step 5: Solve for x
    x = 686,408,936,004/381,477
  6. Step 6: Final answer
    x = 1,799,345.53

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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.