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Finding the Third Proportional to 303,617.25 and 452,965.50

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Solution

The third proportional to 303,617.25 and 452,965.50 is: 675,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,617.25 : 452,965.50 = 452,965.50 : x
  2. Step 2: Convert to fraction form
    303,617.25/452,965.50 = 452,965.50/x
  3. Step 3: Cross multiply
    303,617.25x = 452,965.50 × 452,965.50
  4. Step 4: Simplify right side
    303,617.25x = 205,177,744,190.25
  5. Step 5: Solve for x
    x = 205,177,744,190.25/303,617.25
  6. Step 6: Final answer
    x = 675,777.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.