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Finding the Third Proportional to 271,496 and 561,616

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Solution

The third proportional to 271,496 and 561,616 is: 1,161,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,496 : 561,616 = 561,616 : x
  2. Step 2: Convert to fraction form
    271,496/561,616 = 561,616/x
  3. Step 3: Cross multiply
    271,496x = 561,616 × 561,616
  4. Step 4: Simplify right side
    271,496x = 315,412,531,456
  5. Step 5: Solve for x
    x = 315,412,531,456/271,496
  6. Step 6: Final answer
    x = 1,161,757.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.