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Finding the Third Proportional to 401,474 and 600,879

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Solution

The third proportional to 401,474 and 600,879 is: 899,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,474 : 600,879 = 600,879 : x
  2. Step 2: Convert to fraction form
    401,474/600,879 = 600,879/x
  3. Step 3: Cross multiply
    401,474x = 600,879 × 600,879
  4. Step 4: Simplify right side
    401,474x = 361,055,572,641
  5. Step 5: Solve for x
    x = 361,055,572,641/401,474
  6. Step 6: Final answer
    x = 899,324.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.