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Finding the Third Proportional to 214,839 and 467,910

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Solution

The third proportional to 214,839 and 467,910 is: 1,019,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,839 : 467,910 = 467,910 : x
  2. Step 2: Convert to fraction form
    214,839/467,910 = 467,910/x
  3. Step 3: Cross multiply
    214,839x = 467,910 × 467,910
  4. Step 4: Simplify right side
    214,839x = 218,939,768,100
  5. Step 5: Solve for x
    x = 218,939,768,100/214,839
  6. Step 6: Final answer
    x = 1,019,087.63

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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.