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Finding the Third Proportional to 218,416 and 467,192

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Solution

The third proportional to 218,416 and 467,192 is: 999,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416 : 467,192 = 467,192 : x
  2. Step 2: Convert to fraction form
    218,416/467,192 = 467,192/x
  3. Step 3: Cross multiply
    218,416x = 467,192 × 467,192
  4. Step 4: Simplify right side
    218,416x = 218,268,364,864
  5. Step 5: Solve for x
    x = 218,268,364,864/218,416
  6. Step 6: Final answer
    x = 999,324.06

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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.