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Finding the Third Proportional to 294,850.75 and 441,813

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Solution

The third proportional to 294,850.75 and 441,813 is: 662,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,850.75 : 441,813 = 441,813 : x
  2. Step 2: Convert to fraction form
    294,850.75/441,813 = 441,813/x
  3. Step 3: Cross multiply
    294,850.75x = 441,813 × 441,813
  4. Step 4: Simplify right side
    294,850.75x = 195,198,726,969
  5. Step 5: Solve for x
    x = 195,198,726,969/294,850.75
  6. Step 6: Final answer
    x = 662,025.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.