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Finding the Third Proportional to 278,351 and 620,449

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Solution

The third proportional to 278,351 and 620,449 is: 1,382,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,351 : 620,449 = 620,449 : x
  2. Step 2: Convert to fraction form
    278,351/620,449 = 620,449/x
  3. Step 3: Cross multiply
    278,351x = 620,449 × 620,449
  4. Step 4: Simplify right side
    278,351x = 384,956,961,601
  5. Step 5: Solve for x
    x = 384,956,961,601/278,351
  6. Step 6: Final answer
    x = 1,382,991.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.