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Finding the Third Proportional to 278,158 and 600,660

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Solution

The third proportional to 278,158 and 600,660 is: 1,297,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,158 : 600,660 = 600,660 : x
  2. Step 2: Convert to fraction form
    278,158/600,660 = 600,660/x
  3. Step 3: Cross multiply
    278,158x = 600,660 × 600,660
  4. Step 4: Simplify right side
    278,158x = 360,792,435,600
  5. Step 5: Solve for x
    x = 360,792,435,600/278,158
  6. Step 6: Final answer
    x = 1,297,077.33

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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.