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Finding the Third Proportional to 339,149 and 744,880

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Solution

The third proportional to 339,149 and 744,880 is: 1,635,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,149 : 744,880 = 744,880 : x
  2. Step 2: Convert to fraction form
    339,149/744,880 = 744,880/x
  3. Step 3: Cross multiply
    339,149x = 744,880 × 744,880
  4. Step 4: Simplify right side
    339,149x = 554,846,214,400
  5. Step 5: Solve for x
    x = 554,846,214,400/339,149
  6. Step 6: Final answer
    x = 1,635,995.43

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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.