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Finding the Third Proportional to 214,512 and 461,910

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Solution

The third proportional to 214,512 and 461,910 is: 994,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512 : 461,910 = 461,910 : x
  2. Step 2: Convert to fraction form
    214,512/461,910 = 461,910/x
  3. Step 3: Cross multiply
    214,512x = 461,910 × 461,910
  4. Step 4: Simplify right side
    214,512x = 213,360,848,100
  5. Step 5: Solve for x
    x = 213,360,848,100/214,512
  6. Step 6: Final answer
    x = 994,633.62

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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.