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Finding the Third Proportional to 343,198 and 739,449

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Solution

The third proportional to 343,198 and 739,449 is: 1,593,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,198 : 739,449 = 739,449 : x
  2. Step 2: Convert to fraction form
    343,198/739,449 = 739,449/x
  3. Step 3: Cross multiply
    343,198x = 739,449 × 739,449
  4. Step 4: Simplify right side
    343,198x = 546,784,823,601
  5. Step 5: Solve for x
    x = 546,784,823,601/343,198
  6. Step 6: Final answer
    x = 1,593,205.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.