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Finding the Third Proportional to 216,956 and 467,214

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Solution

The third proportional to 216,956 and 467,214 is: 1,006,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,956 : 467,214 = 467,214 : x
  2. Step 2: Convert to fraction form
    216,956/467,214 = 467,214/x
  3. Step 3: Cross multiply
    216,956x = 467,214 × 467,214
  4. Step 4: Simplify right side
    216,956x = 218,288,921,796
  5. Step 5: Solve for x
    x = 218,288,921,796/216,956
  6. Step 6: Final answer
    x = 1,006,143.74

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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.