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Finding the Third Proportional to 366,975 and 743,809

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Solution

The third proportional to 366,975 and 743,809 is: 1,507,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,975 : 743,809 = 743,809 : x
  2. Step 2: Convert to fraction form
    366,975/743,809 = 743,809/x
  3. Step 3: Cross multiply
    366,975x = 743,809 × 743,809
  4. Step 4: Simplify right side
    366,975x = 553,251,828,481
  5. Step 5: Solve for x
    x = 553,251,828,481/366,975
  6. Step 6: Final answer
    x = 1,507,600.87

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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.