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Finding the Third Proportional to 329,168 and 491,595

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Solution

The third proportional to 329,168 and 491,595 is: 734,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,168 : 491,595 = 491,595 : x
  2. Step 2: Convert to fraction form
    329,168/491,595 = 491,595/x
  3. Step 3: Cross multiply
    329,168x = 491,595 × 491,595
  4. Step 4: Simplify right side
    329,168x = 241,665,644,025
  5. Step 5: Solve for x
    x = 241,665,644,025/329,168
  6. Step 6: Final answer
    x = 734,171.13

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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.