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Finding the Third Proportional to 279,033.75 and 605,634.75

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Solution

The third proportional to 279,033.75 and 605,634.75 is: 1,314,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,033.75 : 605,634.75 = 605,634.75 : x
  2. Step 2: Convert to fraction form
    279,033.75/605,634.75 = 605,634.75/x
  3. Step 3: Cross multiply
    279,033.75x = 605,634.75 × 605,634.75
  4. Step 4: Simplify right side
    279,033.75x = 366,793,450,407.56
  5. Step 5: Solve for x
    x = 366,793,450,407.56/279,033.75
  6. Step 6: Final answer
    x = 1,314,512.85

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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.