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Finding the Third Proportional to 262,228.50 and 396,885

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Solution

The third proportional to 262,228.50 and 396,885 is: 600,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,228.50 : 396,885 = 396,885 : x
  2. Step 2: Convert to fraction form
    262,228.50/396,885 = 396,885/x
  3. Step 3: Cross multiply
    262,228.50x = 396,885 × 396,885
  4. Step 4: Simplify right side
    262,228.50x = 157,517,703,225
  5. Step 5: Solve for x
    x = 157,517,703,225/262,228.50
  6. Step 6: Final answer
    x = 600,688.72

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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.