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Finding the Third Proportional to 271,755 and 590,337

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Solution

The third proportional to 271,755 and 590,337 is: 1,282,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,755 : 590,337 = 590,337 : x
  2. Step 2: Convert to fraction form
    271,755/590,337 = 590,337/x
  3. Step 3: Cross multiply
    271,755x = 590,337 × 590,337
  4. Step 4: Simplify right side
    271,755x = 348,497,773,569
  5. Step 5: Solve for x
    x = 348,497,773,569/271,755
  6. Step 6: Final answer
    x = 1,282,396.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.