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Finding the Third Proportional to 322,872.75 and 703,874.25

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Solution

The third proportional to 322,872.75 and 703,874.25 is: 1,534,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,872.75 : 703,874.25 = 703,874.25 : x
  2. Step 2: Convert to fraction form
    322,872.75/703,874.25 = 703,874.25/x
  3. Step 3: Cross multiply
    322,872.75x = 703,874.25 × 703,874.25
  4. Step 4: Simplify right side
    322,872.75x = 495,438,959,813.06
  5. Step 5: Solve for x
    x = 495,438,959,813.06/322,872.75
  6. Step 6: Final answer
    x = 1,534,471.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.