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Finding the Third Proportional to 338,754 and 746,616

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Solution

The third proportional to 338,754 and 746,616 is: 1,645,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,754 : 746,616 = 746,616 : x
  2. Step 2: Convert to fraction form
    338,754/746,616 = 746,616/x
  3. Step 3: Cross multiply
    338,754x = 746,616 × 746,616
  4. Step 4: Simplify right side
    338,754x = 557,435,451,456
  5. Step 5: Solve for x
    x = 557,435,451,456/338,754
  6. Step 6: Final answer
    x = 1,645,546.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.