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Finding the Third Proportional to 327,174 and 463,961

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Solution

The third proportional to 327,174 and 463,961 is: 657,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,174 : 463,961 = 463,961 : x
  2. Step 2: Convert to fraction form
    327,174/463,961 = 463,961/x
  3. Step 3: Cross multiply
    327,174x = 463,961 × 463,961
  4. Step 4: Simplify right side
    327,174x = 215,259,809,521
  5. Step 5: Solve for x
    x = 215,259,809,521/327,174
  6. Step 6: Final answer
    x = 657,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.