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Finding the Third Proportional to 271,838 and 568,462

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Solution

The third proportional to 271,838 and 568,462 is: 1,188,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,838 : 568,462 = 568,462 : x
  2. Step 2: Convert to fraction form
    271,838/568,462 = 568,462/x
  3. Step 3: Cross multiply
    271,838x = 568,462 × 568,462
  4. Step 4: Simplify right side
    271,838x = 323,149,045,444
  5. Step 5: Solve for x
    x = 323,149,045,444/271,838
  6. Step 6: Final answer
    x = 1,188,755.97

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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.