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Finding the Third Proportional to 327,206 and 693,958

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Solution

The third proportional to 327,206 and 693,958 is: 1,471,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,206 : 693,958 = 693,958 : x
  2. Step 2: Convert to fraction form
    327,206/693,958 = 693,958/x
  3. Step 3: Cross multiply
    327,206x = 693,958 × 693,958
  4. Step 4: Simplify right side
    327,206x = 481,577,705,764
  5. Step 5: Solve for x
    x = 481,577,705,764/327,206
  6. Step 6: Final answer
    x = 1,471,787.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.