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Finding the Third Proportional to 250,615 and 383,861

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Solution

The third proportional to 250,615 and 383,861 is: 587,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,615 : 383,861 = 383,861 : x
  2. Step 2: Convert to fraction form
    250,615/383,861 = 383,861/x
  3. Step 3: Cross multiply
    250,615x = 383,861 × 383,861
  4. Step 4: Simplify right side
    250,615x = 147,349,267,321
  5. Step 5: Solve for x
    x = 147,349,267,321/250,615
  6. Step 6: Final answer
    x = 587,950.71

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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.