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Finding the Third Proportional to 304,044.75 and 703,883.25

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Solution

The third proportional to 304,044.75 and 703,883.25 is: 1,629,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044.75 : 703,883.25 = 703,883.25 : x
  2. Step 2: Convert to fraction form
    304,044.75/703,883.25 = 703,883.25/x
  3. Step 3: Cross multiply
    304,044.75x = 703,883.25 × 703,883.25
  4. Step 4: Simplify right side
    304,044.75x = 495,451,629,630.56
  5. Step 5: Solve for x
    x = 495,451,629,630.56/304,044.75
  6. Step 6: Final answer
    x = 1,629,535.22

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.