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Finding the Third Proportional to 218,412 and 467,186

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Solution

The third proportional to 218,412 and 467,186 is: 999,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412 : 467,186 = 467,186 : x
  2. Step 2: Convert to fraction form
    218,412/467,186 = 467,186/x
  3. Step 3: Cross multiply
    218,412x = 467,186 × 467,186
  4. Step 4: Simplify right side
    218,412x = 218,262,758,596
  5. Step 5: Solve for x
    x = 218,262,758,596/218,412
  6. Step 6: Final answer
    x = 999,316.70

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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.