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Finding the Third Proportional to 366,941 and 743,741

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Solution

The third proportional to 366,941 and 743,741 is: 1,507,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,941 : 743,741 = 743,741 : x
  2. Step 2: Convert to fraction form
    366,941/743,741 = 743,741/x
  3. Step 3: Cross multiply
    366,941x = 743,741 × 743,741
  4. Step 4: Simplify right side
    366,941x = 553,150,675,081
  5. Step 5: Solve for x
    x = 553,150,675,081/366,941
  6. Step 6: Final answer
    x = 1,507,464.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.