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Finding the Third Proportional to 342,600.75 and 737,694

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Solution

The third proportional to 342,600.75 and 737,694 is: 1,588,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,600.75 : 737,694 = 737,694 : x
  2. Step 2: Convert to fraction form
    342,600.75/737,694 = 737,694/x
  3. Step 3: Cross multiply
    342,600.75x = 737,694 × 737,694
  4. Step 4: Simplify right side
    342,600.75x = 544,192,437,636
  5. Step 5: Solve for x
    x = 544,192,437,636/342,600.75
  6. Step 6: Final answer
    x = 1,588,415.78

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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.