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Finding the Third Proportional to 339,174 and 737,406

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Solution

The third proportional to 339,174 and 737,406 is: 1,603,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,174 : 737,406 = 737,406 : x
  2. Step 2: Convert to fraction form
    339,174/737,406 = 737,406/x
  3. Step 3: Cross multiply
    339,174x = 737,406 × 737,406
  4. Step 4: Simplify right side
    339,174x = 543,767,608,836
  5. Step 5: Solve for x
    x = 543,767,608,836/339,174
  6. Step 6: Final answer
    x = 1,603,211.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.