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Finding the Third Proportional to 334,231 and 493,975

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Solution

The third proportional to 334,231 and 493,975 is: 730,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,231 : 493,975 = 493,975 : x
  2. Step 2: Convert to fraction form
    334,231/493,975 = 493,975/x
  3. Step 3: Cross multiply
    334,231x = 493,975 × 493,975
  4. Step 4: Simplify right side
    334,231x = 244,011,300,625
  5. Step 5: Solve for x
    x = 244,011,300,625/334,231
  6. Step 6: Final answer
    x = 730,067.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.