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Finding the Third Proportional to 330,679.69 and 494,733.38

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Solution

The third proportional to 330,679.69 and 494,733.38 is: 740,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,679.69 : 494,733.38 = 494,733.38 : x
  2. Step 2: Convert to fraction form
    330,679.69/494,733.38 = 494,733.38/x
  3. Step 3: Cross multiply
    330,679.69x = 494,733.38 × 494,733.38
  4. Step 4: Simplify right side
    330,679.69x = 244,761,112,338.89
  5. Step 5: Solve for x
    x = 244,761,112,338.89/330,679.69
  6. Step 6: Final answer
    x = 740,175.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.