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Finding the Third Proportional to 271,849 and 639,605

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Solution

The third proportional to 271,849 and 639,605 is: 1,504,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,849 : 639,605 = 639,605 : x
  2. Step 2: Convert to fraction form
    271,849/639,605 = 639,605/x
  3. Step 3: Cross multiply
    271,849x = 639,605 × 639,605
  4. Step 4: Simplify right side
    271,849x = 409,094,556,025
  5. Step 5: Solve for x
    x = 409,094,556,025/271,849
  6. Step 6: Final answer
    x = 1,504,859.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.