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Finding the Third Proportional to 214,841 and 467,914

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Solution

The third proportional to 214,841 and 467,914 is: 1,019,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,841 : 467,914 = 467,914 : x
  2. Step 2: Convert to fraction form
    214,841/467,914 = 467,914/x
  3. Step 3: Cross multiply
    214,841x = 467,914 × 467,914
  4. Step 4: Simplify right side
    214,841x = 218,943,511,396
  5. Step 5: Solve for x
    x = 218,943,511,396/214,841
  6. Step 6: Final answer
    x = 1,019,095.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.