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Finding the Third Proportional to 327,744 and 707,968

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Solution

The third proportional to 327,744 and 707,968 is: 1,529,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,744 : 707,968 = 707,968 : x
  2. Step 2: Convert to fraction form
    327,744/707,968 = 707,968/x
  3. Step 3: Cross multiply
    327,744x = 707,968 × 707,968
  4. Step 4: Simplify right side
    327,744x = 501,218,689,024
  5. Step 5: Solve for x
    x = 501,218,689,024/327,744
  6. Step 6: Final answer
    x = 1,529,299.36

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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.