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Finding the Third Proportional to 300,232.50 and 659,513.25

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Solution

The third proportional to 300,232.50 and 659,513.25 is: 1,448,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,232.50 : 659,513.25 = 659,513.25 : x
  2. Step 2: Convert to fraction form
    300,232.50/659,513.25 = 659,513.25/x
  3. Step 3: Cross multiply
    300,232.50x = 659,513.25 × 659,513.25
  4. Step 4: Simplify right side
    300,232.50x = 434,957,726,925.56
  5. Step 5: Solve for x
    x = 434,957,726,925.56/300,232.50
  6. Step 6: Final answer
    x = 1,448,736.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.