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Finding the Third Proportional to 383,845 and 892,328

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Solution

The third proportional to 383,845 and 892,328 is: 2,074,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,845 : 892,328 = 892,328 : x
  2. Step 2: Convert to fraction form
    383,845/892,328 = 892,328/x
  3. Step 3: Cross multiply
    383,845x = 892,328 × 892,328
  4. Step 4: Simplify right side
    383,845x = 796,249,259,584
  5. Step 5: Solve for x
    x = 796,249,259,584/383,845
  6. Step 6: Final answer
    x = 2,074,403.10

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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.