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Finding the Third Proportional to 327,048 and 463,788

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Solution

The third proportional to 327,048 and 463,788 is: 657,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,048 : 463,788 = 463,788 : x
  2. Step 2: Convert to fraction form
    327,048/463,788 = 463,788/x
  3. Step 3: Cross multiply
    327,048x = 463,788 × 463,788
  4. Step 4: Simplify right side
    327,048x = 215,099,308,944
  5. Step 5: Solve for x
    x = 215,099,308,944/327,048
  6. Step 6: Final answer
    x = 657,699.51

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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.