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Finding the Third Proportional to 337,302 and 449,019

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Solution

The third proportional to 337,302 and 449,019 is: 597,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,302 : 449,019 = 449,019 : x
  2. Step 2: Convert to fraction form
    337,302/449,019 = 449,019/x
  3. Step 3: Cross multiply
    337,302x = 449,019 × 449,019
  4. Step 4: Simplify right side
    337,302x = 201,618,062,361
  5. Step 5: Solve for x
    x = 201,618,062,361/337,302
  6. Step 6: Final answer
    x = 597,737.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.