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Finding the Third Proportional to 271,549 and 379,822

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Solution

The third proportional to 271,549 and 379,822 is: 531,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,549 : 379,822 = 379,822 : x
  2. Step 2: Convert to fraction form
    271,549/379,822 = 379,822/x
  3. Step 3: Cross multiply
    271,549x = 379,822 × 379,822
  4. Step 4: Simplify right side
    271,549x = 144,264,751,684
  5. Step 5: Solve for x
    x = 144,264,751,684/271,549
  6. Step 6: Final answer
    x = 531,266.00

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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.