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Finding the Third Proportional to 216,938 and 467,215

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Solution

The third proportional to 216,938 and 467,215 is: 1,006,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,938 : 467,215 = 467,215 : x
  2. Step 2: Convert to fraction form
    216,938/467,215 = 467,215/x
  3. Step 3: Cross multiply
    216,938x = 467,215 × 467,215
  4. Step 4: Simplify right side
    216,938x = 218,289,856,225
  5. Step 5: Solve for x
    x = 218,289,856,225/216,938
  6. Step 6: Final answer
    x = 1,006,231.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.