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Finding the Third Proportional to 518,400 and 800,568

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Solution

The third proportional to 518,400 and 800,568 is: 1,236,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,400 : 800,568 = 800,568 : x
  2. Step 2: Convert to fraction form
    518,400/800,568 = 800,568/x
  3. Step 3: Cross multiply
    518,400x = 800,568 × 800,568
  4. Step 4: Simplify right side
    518,400x = 640,909,122,624
  5. Step 5: Solve for x
    x = 640,909,122,624/518,400
  6. Step 6: Final answer
    x = 1,236,321.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.