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Finding the Third Proportional to 322,873 and 703,874

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Solution

The third proportional to 322,873 and 703,874 is: 1,534,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,873 : 703,874 = 703,874 : x
  2. Step 2: Convert to fraction form
    322,873/703,874 = 703,874/x
  3. Step 3: Cross multiply
    322,873x = 703,874 × 703,874
  4. Step 4: Simplify right side
    322,873x = 495,438,607,876
  5. Step 5: Solve for x
    x = 495,438,607,876/322,873
  6. Step 6: Final answer
    x = 1,534,469.00

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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.