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Finding the Third Proportional to 271,551 and 379,825

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Solution

The third proportional to 271,551 and 379,825 is: 531,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,551 : 379,825 = 379,825 : x
  2. Step 2: Convert to fraction form
    271,551/379,825 = 379,825/x
  3. Step 3: Cross multiply
    271,551x = 379,825 × 379,825
  4. Step 4: Simplify right side
    271,551x = 144,267,030,625
  5. Step 5: Solve for x
    x = 144,267,030,625/271,551
  6. Step 6: Final answer
    x = 531,270.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.