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Finding the Third Proportional to 337,660 and 522,670

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Solution

The third proportional to 337,660 and 522,670 is: 809,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,660 : 522,670 = 522,670 : x
  2. Step 2: Convert to fraction form
    337,660/522,670 = 522,670/x
  3. Step 3: Cross multiply
    337,660x = 522,670 × 522,670
  4. Step 4: Simplify right side
    337,660x = 273,183,928,900
  5. Step 5: Solve for x
    x = 273,183,928,900/337,660
  6. Step 6: Final answer
    x = 809,050.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.