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Finding the Third Proportional to 383,626 and 580,771

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Solution

The third proportional to 383,626 and 580,771 is: 879,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,626 : 580,771 = 580,771 : x
  2. Step 2: Convert to fraction form
    383,626/580,771 = 580,771/x
  3. Step 3: Cross multiply
    383,626x = 580,771 × 580,771
  4. Step 4: Simplify right side
    383,626x = 337,294,954,441
  5. Step 5: Solve for x
    x = 337,294,954,441/383,626
  6. Step 6: Final answer
    x = 879,228.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.