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Finding the Third Proportional to 203,586 and 443,311.50

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Solution

The third proportional to 203,586 and 443,311.50 is: 965,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586 : 443,311.50 = 443,311.50 : x
  2. Step 2: Convert to fraction form
    203,586/443,311.50 = 443,311.50/x
  3. Step 3: Cross multiply
    203,586x = 443,311.50 × 443,311.50
  4. Step 4: Simplify right side
    203,586x = 196,525,086,032.25
  5. Step 5: Solve for x
    x = 196,525,086,032.25/203,586
  6. Step 6: Final answer
    x = 965,317.29

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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.