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Finding the Third Proportional to 384,375 and 827,799

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Solution

The third proportional to 384,375 and 827,799 is: 1,782,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,375 : 827,799 = 827,799 : x
  2. Step 2: Convert to fraction form
    384,375/827,799 = 827,799/x
  3. Step 3: Cross multiply
    384,375x = 827,799 × 827,799
  4. Step 4: Simplify right side
    384,375x = 685,251,184,401
  5. Step 5: Solve for x
    x = 685,251,184,401/384,375
  6. Step 6: Final answer
    x = 1,782,767.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.