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Finding the Third Proportional to 381,579 and 828,714

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Solution

The third proportional to 381,579 and 828,714 is: 1,799,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,579 : 828,714 = 828,714 : x
  2. Step 2: Convert to fraction form
    381,579/828,714 = 828,714/x
  3. Step 3: Cross multiply
    381,579x = 828,714 × 828,714
  4. Step 4: Simplify right side
    381,579x = 686,766,893,796
  5. Step 5: Solve for x
    x = 686,766,893,796/381,579
  6. Step 6: Final answer
    x = 1,799,802.65

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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.