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Finding the Third Proportional to 327,723 and 700,981

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Solution

The third proportional to 327,723 and 700,981 is: 1,499,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,723 : 700,981 = 700,981 : x
  2. Step 2: Convert to fraction form
    327,723/700,981 = 700,981/x
  3. Step 3: Cross multiply
    327,723x = 700,981 × 700,981
  4. Step 4: Simplify right side
    327,723x = 491,374,362,361
  5. Step 5: Solve for x
    x = 491,374,362,361/327,723
  6. Step 6: Final answer
    x = 1,499,358.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.