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Finding the Third Proportional to 203,420.75 and 443,005

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Solution

The third proportional to 203,420.75 and 443,005 is: 964,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,420.75 : 443,005 = 443,005 : x
  2. Step 2: Convert to fraction form
    203,420.75/443,005 = 443,005/x
  3. Step 3: Cross multiply
    203,420.75x = 443,005 × 443,005
  4. Step 4: Simplify right side
    203,420.75x = 196,253,430,025
  5. Step 5: Solve for x
    x = 196,253,430,025/203,420.75
  6. Step 6: Final answer
    x = 964,766.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.