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Finding the Third Proportional to 214,578 and 461,880

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Solution

The third proportional to 214,578 and 461,880 is: 994,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,578 : 461,880 = 461,880 : x
  2. Step 2: Convert to fraction form
    214,578/461,880 = 461,880/x
  3. Step 3: Cross multiply
    214,578x = 461,880 × 461,880
  4. Step 4: Simplify right side
    214,578x = 213,333,134,400
  5. Step 5: Solve for x
    x = 213,333,134,400/214,578
  6. Step 6: Final answer
    x = 994,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.