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Finding the Third Proportional to 411,750 and 892,231

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Solution

The third proportional to 411,750 and 892,231 is: 1,933,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,750 : 892,231 = 892,231 : x
  2. Step 2: Convert to fraction form
    411,750/892,231 = 892,231/x
  3. Step 3: Cross multiply
    411,750x = 892,231 × 892,231
  4. Step 4: Simplify right side
    411,750x = 796,076,157,361
  5. Step 5: Solve for x
    x = 796,076,157,361/411,750
  6. Step 6: Final answer
    x = 1,933,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.