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Finding the Third Proportional to 325,059.75 and 783,114.75

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Solution

The third proportional to 325,059.75 and 783,114.75 is: 1,886,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,059.75 : 783,114.75 = 783,114.75 : x
  2. Step 2: Convert to fraction form
    325,059.75/783,114.75 = 783,114.75/x
  3. Step 3: Cross multiply
    325,059.75x = 783,114.75 × 783,114.75
  4. Step 4: Simplify right side
    325,059.75x = 613,268,711,667.56
  5. Step 5: Solve for x
    x = 613,268,711,667.56/325,059.75
  6. Step 6: Final answer
    x = 1,886,633.80

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.