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Finding the Third Proportional to 271,882 and 414,981

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Solution

The third proportional to 271,882 and 414,981 is: 633,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,882 : 414,981 = 414,981 : x
  2. Step 2: Convert to fraction form
    271,882/414,981 = 414,981/x
  3. Step 3: Cross multiply
    271,882x = 414,981 × 414,981
  4. Step 4: Simplify right side
    271,882x = 172,209,230,361
  5. Step 5: Solve for x
    x = 172,209,230,361/271,882
  6. Step 6: Final answer
    x = 633,396.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.