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Finding the Third Proportional to 327,882 and 521,367

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Solution

The third proportional to 327,882 and 521,367 is: 829,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,882 : 521,367 = 521,367 : x
  2. Step 2: Convert to fraction form
    327,882/521,367 = 521,367/x
  3. Step 3: Cross multiply
    327,882x = 521,367 × 521,367
  4. Step 4: Simplify right side
    327,882x = 271,823,548,689
  5. Step 5: Solve for x
    x = 271,823,548,689/327,882
  6. Step 6: Final answer
    x = 829,028.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.