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Finding the Third Proportional to 327,862 and 521,331

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Solution

The third proportional to 327,862 and 521,331 is: 828,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,862 : 521,331 = 521,331 : x
  2. Step 2: Convert to fraction form
    327,862/521,331 = 521,331/x
  3. Step 3: Cross multiply
    327,862x = 521,331 × 521,331
  4. Step 4: Simplify right side
    327,862x = 271,786,011,561
  5. Step 5: Solve for x
    x = 271,786,011,561/327,862
  6. Step 6: Final answer
    x = 828,964.66

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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.