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Finding the Third Proportional to 329,164 and 491,592

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Solution

The third proportional to 329,164 and 491,592 is: 734,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,164 : 491,592 = 491,592 : x
  2. Step 2: Convert to fraction form
    329,164/491,592 = 491,592/x
  3. Step 3: Cross multiply
    329,164x = 491,592 × 491,592
  4. Step 4: Simplify right side
    329,164x = 241,662,694,464
  5. Step 5: Solve for x
    x = 241,662,694,464/329,164
  6. Step 6: Final answer
    x = 734,171.10

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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.