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Finding the Third Proportional to 271,500 and 561,624

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Solution

The third proportional to 271,500 and 561,624 is: 1,161,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,500 : 561,624 = 561,624 : x
  2. Step 2: Convert to fraction form
    271,500/561,624 = 561,624/x
  3. Step 3: Cross multiply
    271,500x = 561,624 × 561,624
  4. Step 4: Simplify right side
    271,500x = 315,421,517,376
  5. Step 5: Solve for x
    x = 315,421,517,376/271,500
  6. Step 6: Final answer
    x = 1,161,773.54

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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.