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Finding the Third Proportional to 214,851 and 467,934

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Solution

The third proportional to 214,851 and 467,934 is: 1,019,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,851 : 467,934 = 467,934 : x
  2. Step 2: Convert to fraction form
    214,851/467,934 = 467,934/x
  3. Step 3: Cross multiply
    214,851x = 467,934 × 467,934
  4. Step 4: Simplify right side
    214,851x = 218,962,228,356
  5. Step 5: Solve for x
    x = 218,962,228,356/214,851
  6. Step 6: Final answer
    x = 1,019,135.25

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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.