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Finding the Third Proportional to 619,380 and 905,163.75

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Solution

The third proportional to 619,380 and 905,163.75 is: 1,322,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,380 : 905,163.75 = 905,163.75 : x
  2. Step 2: Convert to fraction form
    619,380/905,163.75 = 905,163.75/x
  3. Step 3: Cross multiply
    619,380x = 905,163.75 × 905,163.75
  4. Step 4: Simplify right side
    619,380x = 819,321,414,314.06
  5. Step 5: Solve for x
    x = 819,321,414,314.06/619,380
  6. Step 6: Final answer
    x = 1,322,808.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.