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Finding the Third Proportional to 271,446 and 591,078

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Solution

The third proportional to 271,446 and 591,078 is: 1,287,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,446 : 591,078 = 591,078 : x
  2. Step 2: Convert to fraction form
    271,446/591,078 = 591,078/x
  3. Step 3: Cross multiply
    271,446x = 591,078 × 591,078
  4. Step 4: Simplify right side
    271,446x = 349,373,202,084
  5. Step 5: Solve for x
    x = 349,373,202,084/271,446
  6. Step 6: Final answer
    x = 1,287,081.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.