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Finding the Third Proportional to 379,717 and 534,046.50

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Solution

The third proportional to 379,717 and 534,046.50 is: 751,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,717 : 534,046.50 = 534,046.50 : x
  2. Step 2: Convert to fraction form
    379,717/534,046.50 = 534,046.50/x
  3. Step 3: Cross multiply
    379,717x = 534,046.50 × 534,046.50
  4. Step 4: Simplify right side
    379,717x = 285,205,664,162.25
  5. Step 5: Solve for x
    x = 285,205,664,162.25/379,717
  6. Step 6: Final answer
    x = 751,100.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.