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Finding the Third Proportional to 280,198 and 599,756

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Solution

The third proportional to 280,198 and 599,756 is: 1,283,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198 : 599,756 = 599,756 : x
  2. Step 2: Convert to fraction form
    280,198/599,756 = 599,756/x
  3. Step 3: Cross multiply
    280,198x = 599,756 × 599,756
  4. Step 4: Simplify right side
    280,198x = 359,707,259,536
  5. Step 5: Solve for x
    x = 359,707,259,536/280,198
  6. Step 6: Final answer
    x = 1,283,760.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.