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Finding the Third Proportional to 361,466.50 and 541,105.75

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Solution

The third proportional to 361,466.50 and 541,105.75 is: 810,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,466.50 : 541,105.75 = 541,105.75 : x
  2. Step 2: Convert to fraction form
    361,466.50/541,105.75 = 541,105.75/x
  3. Step 3: Cross multiply
    361,466.50x = 541,105.75 × 541,105.75
  4. Step 4: Simplify right side
    361,466.50x = 292,795,432,683.06
  5. Step 5: Solve for x
    x = 292,795,432,683.06/361,466.50
  6. Step 6: Final answer
    x = 810,020.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.