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Finding the Third Proportional to 322,904 and 703,936

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Solution

The third proportional to 322,904 and 703,936 is: 1,534,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,904 : 703,936 = 703,936 : x
  2. Step 2: Convert to fraction form
    322,904/703,936 = 703,936/x
  3. Step 3: Cross multiply
    322,904x = 703,936 × 703,936
  4. Step 4: Simplify right side
    322,904x = 495,525,892,096
  5. Step 5: Solve for x
    x = 495,525,892,096/322,904
  6. Step 6: Final answer
    x = 1,534,591.99

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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.