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Finding the Third Proportional to 327,168 and 479,943

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Solution

The third proportional to 327,168 and 479,943 is: 704,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,168 : 479,943 = 479,943 : x
  2. Step 2: Convert to fraction form
    327,168/479,943 = 479,943/x
  3. Step 3: Cross multiply
    327,168x = 479,943 × 479,943
  4. Step 4: Simplify right side
    327,168x = 230,345,283,249
  5. Step 5: Solve for x
    x = 230,345,283,249/327,168
  6. Step 6: Final answer
    x = 704,058.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.