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Finding the Third Proportional to 285,759.75 and 614,529.75

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Solution

The third proportional to 285,759.75 and 614,529.75 is: 1,321,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,759.75 : 614,529.75 = 614,529.75 : x
  2. Step 2: Convert to fraction form
    285,759.75/614,529.75 = 614,529.75/x
  3. Step 3: Cross multiply
    285,759.75x = 614,529.75 × 614,529.75
  4. Step 4: Simplify right side
    285,759.75x = 377,646,813,635.06
  5. Step 5: Solve for x
    x = 377,646,813,635.06/285,759.75
  6. Step 6: Final answer
    x = 1,321,553.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.