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Finding the Third Proportional to 381,464 and 828,474

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Solution

The third proportional to 381,464 and 828,474 is: 1,799,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,464 : 828,474 = 828,474 : x
  2. Step 2: Convert to fraction form
    381,464/828,474 = 828,474/x
  3. Step 3: Cross multiply
    381,464x = 828,474 × 828,474
  4. Step 4: Simplify right side
    381,464x = 686,369,168,676
  5. Step 5: Solve for x
    x = 686,369,168,676/381,464
  6. Step 6: Final answer
    x = 1,799,302.60

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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.