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Finding the Third Proportional to 327,178 and 463,967

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Solution

The third proportional to 327,178 and 463,967 is: 657,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,178 : 463,967 = 463,967 : x
  2. Step 2: Convert to fraction form
    327,178/463,967 = 463,967/x
  3. Step 3: Cross multiply
    327,178x = 463,967 × 463,967
  4. Step 4: Simplify right side
    327,178x = 215,265,377,089
  5. Step 5: Solve for x
    x = 215,265,377,089/327,178
  6. Step 6: Final answer
    x = 657,945.76

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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.