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Finding the Third Proportional to 379,617.75 and 825,662.25

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Solution

The third proportional to 379,617.75 and 825,662.25 is: 1,795,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,617.75 : 825,662.25 = 825,662.25 : x
  2. Step 2: Convert to fraction form
    379,617.75/825,662.25 = 825,662.25/x
  3. Step 3: Cross multiply
    379,617.75x = 825,662.25 × 825,662.25
  4. Step 4: Simplify right side
    379,617.75x = 681,718,151,075.06
  5. Step 5: Solve for x
    x = 681,718,151,075.06/379,617.75
  6. Step 6: Final answer
    x = 1,795,801.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.