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Finding the Third Proportional to 327,296 and 718,912

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Solution

The third proportional to 327,296 and 718,912 is: 1,579,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,296 : 718,912 = 718,912 : x
  2. Step 2: Convert to fraction form
    327,296/718,912 = 718,912/x
  3. Step 3: Cross multiply
    327,296x = 718,912 × 718,912
  4. Step 4: Simplify right side
    327,296x = 516,834,463,744
  5. Step 5: Solve for x
    x = 516,834,463,744/327,296
  6. Step 6: Final answer
    x = 1,579,104.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.