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Finding the Third Proportional to 376,568 and 827,768

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Solution

The third proportional to 376,568 and 827,768 is: 1,819,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,568 : 827,768 = 827,768 : x
  2. Step 2: Convert to fraction form
    376,568/827,768 = 827,768/x
  3. Step 3: Cross multiply
    376,568x = 827,768 × 827,768
  4. Step 4: Simplify right side
    376,568x = 685,199,861,824
  5. Step 5: Solve for x
    x = 685,199,861,824/376,568
  6. Step 6: Final answer
    x = 1,819,591.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.