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Finding the Third Proportional to 329,077 and 491,463

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Solution

The third proportional to 329,077 and 491,463 is: 733,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,077 : 491,463 = 491,463 : x
  2. Step 2: Convert to fraction form
    329,077/491,463 = 491,463/x
  3. Step 3: Cross multiply
    329,077x = 491,463 × 491,463
  4. Step 4: Simplify right side
    329,077x = 241,535,880,369
  5. Step 5: Solve for x
    x = 241,535,880,369/329,077
  6. Step 6: Final answer
    x = 733,979.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.