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Finding the Third Proportional to 543,796 and 827,682

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Solution

The third proportional to 543,796 and 827,682 is: 1,259,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,796 : 827,682 = 827,682 : x
  2. Step 2: Convert to fraction form
    543,796/827,682 = 827,682/x
  3. Step 3: Cross multiply
    543,796x = 827,682 × 827,682
  4. Step 4: Simplify right side
    543,796x = 685,057,493,124
  5. Step 5: Solve for x
    x = 685,057,493,124/543,796
  6. Step 6: Final answer
    x = 1,259,769.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.