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Finding the Third Proportional to 271,787 and 639,498

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Solution

The third proportional to 271,787 and 639,498 is: 1,504,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,787 : 639,498 = 639,498 : x
  2. Step 2: Convert to fraction form
    271,787/639,498 = 639,498/x
  3. Step 3: Cross multiply
    271,787x = 639,498 × 639,498
  4. Step 4: Simplify right side
    271,787x = 408,957,692,004
  5. Step 5: Solve for x
    x = 408,957,692,004/271,787
  6. Step 6: Final answer
    x = 1,504,699.24

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