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Finding the Third Proportional to 305,120.75 and 638,125.75

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Solution

The third proportional to 305,120.75 and 638,125.75 is: 1,334,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,120.75 : 638,125.75 = 638,125.75 : x
  2. Step 2: Convert to fraction form
    305,120.75/638,125.75 = 638,125.75/x
  3. Step 3: Cross multiply
    305,120.75x = 638,125.75 × 638,125.75
  4. Step 4: Simplify right side
    305,120.75x = 407,204,472,813.06
  5. Step 5: Solve for x
    x = 407,204,472,813.06/305,120.75
  6. Step 6: Final answer
    x = 1,334,568.27

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.