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Finding the Third Proportional to 327,481 and 520,743

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Solution

The third proportional to 327,481 and 520,743 is: 828,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,481 : 520,743 = 520,743 : x
  2. Step 2: Convert to fraction form
    327,481/520,743 = 520,743/x
  3. Step 3: Cross multiply
    327,481x = 520,743 × 520,743
  4. Step 4: Simplify right side
    327,481x = 271,173,272,049
  5. Step 5: Solve for x
    x = 271,173,272,049/327,481
  6. Step 6: Final answer
    x = 828,058.03

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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.