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Finding the Third Proportional to 339,198 and 737,352

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Solution

The third proportional to 339,198 and 737,352 is: 1,602,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,198 : 737,352 = 737,352 : x
  2. Step 2: Convert to fraction form
    339,198/737,352 = 737,352/x
  3. Step 3: Cross multiply
    339,198x = 737,352 × 737,352
  4. Step 4: Simplify right side
    339,198x = 543,687,971,904
  5. Step 5: Solve for x
    x = 543,687,971,904/339,198
  6. Step 6: Final answer
    x = 1,602,863.14

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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.