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Finding the Third Proportional to 250,619 and 383,867

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Solution

The third proportional to 250,619 and 383,867 is: 587,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,619 : 383,867 = 383,867 : x
  2. Step 2: Convert to fraction form
    250,619/383,867 = 383,867/x
  3. Step 3: Cross multiply
    250,619x = 383,867 × 383,867
  4. Step 4: Simplify right side
    250,619x = 147,353,873,689
  5. Step 5: Solve for x
    x = 147,353,873,689/250,619
  6. Step 6: Final answer
    x = 587,959.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.