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Finding the Third Proportional to 279,634.50 and 419,482.13

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Solution

The third proportional to 279,634.50 and 419,482.13 is: 629,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,634.50 : 419,482.13 = 419,482.13 : x
  2. Step 2: Convert to fraction form
    279,634.50/419,482.13 = 419,482.13/x
  3. Step 3: Cross multiply
    279,634.50x = 419,482.13 × 419,482.13
  4. Step 4: Simplify right side
    279,634.50x = 175,965,253,194.52
  5. Step 5: Solve for x
    x = 175,965,253,194.52/279,634.50
  6. Step 6: Final answer
    x = 629,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.