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Finding the Third Proportional to 329,163 and 491,590.50

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Solution

The third proportional to 329,163 and 491,590.50 is: 734,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,163 : 491,590.50 = 491,590.50 : x
  2. Step 2: Convert to fraction form
    329,163/491,590.50 = 491,590.50/x
  3. Step 3: Cross multiply
    329,163x = 491,590.50 × 491,590.50
  4. Step 4: Simplify right side
    329,163x = 241,661,219,690.25
  5. Step 5: Solve for x
    x = 241,661,219,690.25/329,163
  6. Step 6: Final answer
    x = 734,168.85

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