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Finding the Third Proportional to 339,041 and 723,064

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Solution

The third proportional to 339,041 and 723,064 is: 1,542,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,041 : 723,064 = 723,064 : x
  2. Step 2: Convert to fraction form
    339,041/723,064 = 723,064/x
  3. Step 3: Cross multiply
    339,041x = 723,064 × 723,064
  4. Step 4: Simplify right side
    339,041x = 522,821,548,096
  5. Step 5: Solve for x
    x = 522,821,548,096/339,041
  6. Step 6: Final answer
    x = 1,542,059.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.