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Finding the Third Proportional to 263,422 and 568,962

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Solution

The third proportional to 263,422 and 568,962 is: 1,228,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,422 : 568,962 = 568,962 : x
  2. Step 2: Convert to fraction form
    263,422/568,962 = 568,962/x
  3. Step 3: Cross multiply
    263,422x = 568,962 × 568,962
  4. Step 4: Simplify right side
    263,422x = 323,717,757,444
  5. Step 5: Solve for x
    x = 323,717,757,444/263,422
  6. Step 6: Final answer
    x = 1,228,894.16

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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.