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Finding the Third Proportional to 337,977 and 523,145

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Solution

The third proportional to 337,977 and 523,145 is: 809,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,977 : 523,145 = 523,145 : x
  2. Step 2: Convert to fraction form
    337,977/523,145 = 523,145/x
  3. Step 3: Cross multiply
    337,977x = 523,145 × 523,145
  4. Step 4: Simplify right side
    337,977x = 273,680,691,025
  5. Step 5: Solve for x
    x = 273,680,691,025/337,977
  6. Step 6: Final answer
    x = 809,761.29

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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.