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Finding the Third Proportional to 379,826 and 601,449

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Solution

The third proportional to 379,826 and 601,449 is: 952,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,826 : 601,449 = 601,449 : x
  2. Step 2: Convert to fraction form
    379,826/601,449 = 601,449/x
  3. Step 3: Cross multiply
    379,826x = 601,449 × 601,449
  4. Step 4: Simplify right side
    379,826x = 361,740,899,601
  5. Step 5: Solve for x
    x = 361,740,899,601/379,826
  6. Step 6: Final answer
    x = 952,385.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.