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Finding the Third Proportional to 325,469 and 703,578.50

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Solution

The third proportional to 325,469 and 703,578.50 is: 1,520,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,469 : 703,578.50 = 703,578.50 : x
  2. Step 2: Convert to fraction form
    325,469/703,578.50 = 703,578.50/x
  3. Step 3: Cross multiply
    325,469x = 703,578.50 × 703,578.50
  4. Step 4: Simplify right side
    325,469x = 495,022,705,662.25
  5. Step 5: Solve for x
    x = 495,022,705,662.25/325,469
  6. Step 6: Final answer
    x = 1,520,951.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.