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Finding the Third Proportional to 271,566 and 567,918

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Solution

The third proportional to 271,566 and 567,918 is: 1,187,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 567,918 = 567,918 : x
  2. Step 2: Convert to fraction form
    271,566/567,918 = 567,918/x
  3. Step 3: Cross multiply
    271,566x = 567,918 × 567,918
  4. Step 4: Simplify right side
    271,566x = 322,530,854,724
  5. Step 5: Solve for x
    x = 322,530,854,724/271,566
  6. Step 6: Final answer
    x = 1,187,670.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.