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Finding the Third Proportional to 543,762 and 827,163

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Solution

The third proportional to 543,762 and 827,163 is: 1,258,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,762 : 827,163 = 827,163 : x
  2. Step 2: Convert to fraction form
    543,762/827,163 = 827,163/x
  3. Step 3: Cross multiply
    543,762x = 827,163 × 827,163
  4. Step 4: Simplify right side
    543,762x = 684,198,628,569
  5. Step 5: Solve for x
    x = 684,198,628,569/543,762
  6. Step 6: Final answer
    x = 1,258,268.56

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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.