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Finding the Third Proportional to 278,168 and 600,676

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Solution

The third proportional to 278,168 and 600,676 is: 1,297,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,168 : 600,676 = 600,676 : x
  2. Step 2: Convert to fraction form
    278,168/600,676 = 600,676/x
  3. Step 3: Cross multiply
    278,168x = 600,676 × 600,676
  4. Step 4: Simplify right side
    278,168x = 360,811,656,976
  5. Step 5: Solve for x
    x = 360,811,656,976/278,168
  6. Step 6: Final answer
    x = 1,297,099.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.