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Finding the Third Proportional to 262,520.72 and 396,181.41

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Solution

The third proportional to 262,520.72 and 396,181.41 is: 597,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,520.72 : 396,181.41 = 396,181.41 : x
  2. Step 2: Convert to fraction form
    262,520.72/396,181.41 = 396,181.41/x
  3. Step 3: Cross multiply
    262,520.72x = 396,181.41 × 396,181.41
  4. Step 4: Simplify right side
    262,520.72x = 156,959,706,658.23
  5. Step 5: Solve for x
    x = 156,959,706,658.23/262,520.72
  6. Step 6: Final answer
    x = 597,894.55

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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.