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Finding the Third Proportional to 278,188 and 600,722

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Solution

The third proportional to 278,188 and 600,722 is: 1,297,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,188 : 600,722 = 600,722 : x
  2. Step 2: Convert to fraction form
    278,188/600,722 = 600,722/x
  3. Step 3: Cross multiply
    278,188x = 600,722 × 600,722
  4. Step 4: Simplify right side
    278,188x = 360,866,921,284
  5. Step 5: Solve for x
    x = 360,866,921,284/278,188
  6. Step 6: Final answer
    x = 1,297,205.20

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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.