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Finding the Third Proportional to 319,396.50 and 444,096

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Solution

The third proportional to 319,396.50 and 444,096 is: 617,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,396.50 : 444,096 = 444,096 : x
  2. Step 2: Convert to fraction form
    319,396.50/444,096 = 444,096/x
  3. Step 3: Cross multiply
    319,396.50x = 444,096 × 444,096
  4. Step 4: Simplify right side
    319,396.50x = 197,221,257,216
  5. Step 5: Solve for x
    x = 197,221,257,216/319,396.50
  6. Step 6: Final answer
    x = 617,480.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.