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Finding the Third Proportional to 409,245.25 and 892,828

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Solution

The third proportional to 409,245.25 and 892,828 is: 1,947,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,245.25 : 892,828 = 892,828 : x
  2. Step 2: Convert to fraction form
    409,245.25/892,828 = 892,828/x
  3. Step 3: Cross multiply
    409,245.25x = 892,828 × 892,828
  4. Step 4: Simplify right side
    409,245.25x = 797,141,837,584
  5. Step 5: Solve for x
    x = 797,141,837,584/409,245.25
  6. Step 6: Final answer
    x = 1,947,834.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.