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Finding the Third Proportional to 339,191 and 737,336

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Solution

The third proportional to 339,191 and 737,336 is: 1,602,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,191 : 737,336 = 737,336 : x
  2. Step 2: Convert to fraction form
    339,191/737,336 = 737,336/x
  3. Step 3: Cross multiply
    339,191x = 737,336 × 737,336
  4. Step 4: Simplify right side
    339,191x = 543,664,376,896
  5. Step 5: Solve for x
    x = 543,664,376,896/339,191
  6. Step 6: Final answer
    x = 1,602,826.66

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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.