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Finding the Third Proportional to 327,867 and 707,412

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Solution

The third proportional to 327,867 and 707,412 is: 1,526,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,867 : 707,412 = 707,412 : x
  2. Step 2: Convert to fraction form
    327,867/707,412 = 707,412/x
  3. Step 3: Cross multiply
    327,867x = 707,412 × 707,412
  4. Step 4: Simplify right side
    327,867x = 500,431,737,744
  5. Step 5: Solve for x
    x = 500,431,737,744/327,867
  6. Step 6: Final answer
    x = 1,526,325.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.