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Finding the Third Proportional to 381,027 and 827,718

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Solution

The third proportional to 381,027 and 827,718 is: 1,798,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,027 : 827,718 = 827,718 : x
  2. Step 2: Convert to fraction form
    381,027/827,718 = 827,718/x
  3. Step 3: Cross multiply
    381,027x = 827,718 × 827,718
  4. Step 4: Simplify right side
    381,027x = 685,117,087,524
  5. Step 5: Solve for x
    x = 685,117,087,524/381,027
  6. Step 6: Final answer
    x = 1,798,080.16

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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.