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Finding the Third Proportional to 259,406 and 568,021

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Solution

The third proportional to 259,406 and 568,021 is: 1,243,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406 : 568,021 = 568,021 : x
  2. Step 2: Convert to fraction form
    259,406/568,021 = 568,021/x
  3. Step 3: Cross multiply
    259,406x = 568,021 × 568,021
  4. Step 4: Simplify right side
    259,406x = 322,647,856,441
  5. Step 5: Solve for x
    x = 322,647,856,441/259,406
  6. Step 6: Final answer
    x = 1,243,794.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.