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Finding the Third Proportional to 263,084 and 568,206

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Solution

The third proportional to 263,084 and 568,206 is: 1,227,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,084 : 568,206 = 568,206 : x
  2. Step 2: Convert to fraction form
    263,084/568,206 = 568,206/x
  3. Step 3: Cross multiply
    263,084x = 568,206 × 568,206
  4. Step 4: Simplify right side
    263,084x = 322,858,058,436
  5. Step 5: Solve for x
    x = 322,858,058,436/263,084
  6. Step 6: Final answer
    x = 1,227,205.22

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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.