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Finding the Third Proportional to 383,843 and 892,323

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Solution

The third proportional to 383,843 and 892,323 is: 2,074,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,843 : 892,323 = 892,323 : x
  2. Step 2: Convert to fraction form
    383,843/892,323 = 892,323/x
  3. Step 3: Cross multiply
    383,843x = 892,323 × 892,323
  4. Step 4: Simplify right side
    383,843x = 796,240,336,329
  5. Step 5: Solve for x
    x = 796,240,336,329/383,843
  6. Step 6: Final answer
    x = 2,074,390.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.