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Finding the Third Proportional to 216,944 and 467,182

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Solution

The third proportional to 216,944 and 467,182 is: 1,006,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,944 : 467,182 = 467,182 : x
  2. Step 2: Convert to fraction form
    216,944/467,182 = 467,182/x
  3. Step 3: Cross multiply
    216,944x = 467,182 × 467,182
  4. Step 4: Simplify right side
    216,944x = 218,259,021,124
  5. Step 5: Solve for x
    x = 218,259,021,124/216,944
  6. Step 6: Final answer
    x = 1,006,061.57

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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.