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Finding the Third Proportional to 214,744 and 457,925

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Solution

The third proportional to 214,744 and 457,925 is: 976,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,744 : 457,925 = 457,925 : x
  2. Step 2: Convert to fraction form
    214,744/457,925 = 457,925/x
  3. Step 3: Cross multiply
    214,744x = 457,925 × 457,925
  4. Step 4: Simplify right side
    214,744x = 209,695,305,625
  5. Step 5: Solve for x
    x = 209,695,305,625/214,744
  6. Step 6: Final answer
    x = 976,489.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.