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Finding the Third Proportional to 218,411 and 467,183

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Solution

The third proportional to 218,411 and 467,183 is: 999,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411 : 467,183 = 467,183 : x
  2. Step 2: Convert to fraction form
    218,411/467,183 = 467,183/x
  3. Step 3: Cross multiply
    218,411x = 467,183 × 467,183
  4. Step 4: Simplify right side
    218,411x = 218,259,955,489
  5. Step 5: Solve for x
    x = 218,259,955,489/218,411
  6. Step 6: Final answer
    x = 999,308.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.