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Finding the Third Proportional to 328,089 and 682,366

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Solution

The third proportional to 328,089 and 682,366 is: 1,419,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,089 : 682,366 = 682,366 : x
  2. Step 2: Convert to fraction form
    328,089/682,366 = 682,366/x
  3. Step 3: Cross multiply
    328,089x = 682,366 × 682,366
  4. Step 4: Simplify right side
    328,089x = 465,623,357,956
  5. Step 5: Solve for x
    x = 465,623,357,956/328,089
  6. Step 6: Final answer
    x = 1,419,198.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.