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Finding the Third Proportional to 327,844 and 521,304

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Solution

The third proportional to 327,844 and 521,304 is: 828,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,844 : 521,304 = 521,304 : x
  2. Step 2: Convert to fraction form
    327,844/521,304 = 521,304/x
  3. Step 3: Cross multiply
    327,844x = 521,304 × 521,304
  4. Step 4: Simplify right side
    327,844x = 271,757,860,416
  5. Step 5: Solve for x
    x = 271,757,860,416/327,844
  6. Step 6: Final answer
    x = 828,924.31

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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.