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Finding the Third Proportional to 263,069 and 568,174

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Solution

The third proportional to 263,069 and 568,174 is: 1,227,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,069 : 568,174 = 568,174 : x
  2. Step 2: Convert to fraction form
    263,069/568,174 = 568,174/x
  3. Step 3: Cross multiply
    263,069x = 568,174 × 568,174
  4. Step 4: Simplify right side
    263,069x = 322,821,694,276
  5. Step 5: Solve for x
    x = 322,821,694,276/263,069
  6. Step 6: Final answer
    x = 1,227,136.97

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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.