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Finding the Third Proportional to 263,204 and 538,878

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Solution

The third proportional to 263,204 and 538,878 is: 1,103,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,204 : 538,878 = 538,878 : x
  2. Step 2: Convert to fraction form
    263,204/538,878 = 538,878/x
  3. Step 3: Cross multiply
    263,204x = 538,878 × 538,878
  4. Step 4: Simplify right side
    263,204x = 290,389,498,884
  5. Step 5: Solve for x
    x = 290,389,498,884/263,204
  6. Step 6: Final answer
    x = 1,103,286.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.