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Finding the Third Proportional to 263,083 and 568,204

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Solution

The third proportional to 263,083 and 568,204 is: 1,227,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,083 : 568,204 = 568,204 : x
  2. Step 2: Convert to fraction form
    263,083/568,204 = 568,204/x
  3. Step 3: Cross multiply
    263,083x = 568,204 × 568,204
  4. Step 4: Simplify right side
    263,083x = 322,855,785,616
  5. Step 5: Solve for x
    x = 322,855,785,616/263,083
  6. Step 6: Final answer
    x = 1,227,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.