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Finding the Third Proportional to 305,327.25 and 651,231.75

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Solution

The third proportional to 305,327.25 and 651,231.75 is: 1,389,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,327.25 : 651,231.75 = 651,231.75 : x
  2. Step 2: Convert to fraction form
    305,327.25/651,231.75 = 651,231.75/x
  3. Step 3: Cross multiply
    305,327.25x = 651,231.75 × 651,231.75
  4. Step 4: Simplify right side
    305,327.25x = 424,102,792,208.06
  5. Step 5: Solve for x
    x = 424,102,792,208.06/305,327.25
  6. Step 6: Final answer
    x = 1,389,010.62

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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.