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Finding the Third Proportional to 313,832 and 691,006

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Solution

The third proportional to 313,832 and 691,006 is: 1,521,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832 : 691,006 = 691,006 : x
  2. Step 2: Convert to fraction form
    313,832/691,006 = 691,006/x
  3. Step 3: Cross multiply
    313,832x = 691,006 × 691,006
  4. Step 4: Simplify right side
    313,832x = 477,489,292,036
  5. Step 5: Solve for x
    x = 477,489,292,036/313,832
  6. Step 6: Final answer
    x = 1,521,480.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.