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Finding the Third Proportional to 379,848 and 810,538.50

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Solution

The third proportional to 379,848 and 810,538.50 is: 1,729,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,848 : 810,538.50 = 810,538.50 : x
  2. Step 2: Convert to fraction form
    379,848/810,538.50 = 810,538.50/x
  3. Step 3: Cross multiply
    379,848x = 810,538.50 × 810,538.50
  4. Step 4: Simplify right side
    379,848x = 656,972,659,982.25
  5. Step 5: Solve for x
    x = 656,972,659,982.25/379,848
  6. Step 6: Final answer
    x = 1,729,567.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.