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Finding the Third Proportional to 327,696 and 705,768

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Solution

The third proportional to 327,696 and 705,768 is: 1,520,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,696 : 705,768 = 705,768 : x
  2. Step 2: Convert to fraction form
    327,696/705,768 = 705,768/x
  3. Step 3: Cross multiply
    327,696x = 705,768 × 705,768
  4. Step 4: Simplify right side
    327,696x = 498,108,469,824
  5. Step 5: Solve for x
    x = 498,108,469,824/327,696
  6. Step 6: Final answer
    x = 1,520,032.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.