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Finding the Third Proportional to 199,529 and 443,347

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Solution

The third proportional to 199,529 and 443,347 is: 985,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529 : 443,347 = 443,347 : x
  2. Step 2: Convert to fraction form
    199,529/443,347 = 443,347/x
  3. Step 3: Cross multiply
    199,529x = 443,347 × 443,347
  4. Step 4: Simplify right side
    199,529x = 196,556,562,409
  5. Step 5: Solve for x
    x = 196,556,562,409/199,529
  6. Step 6: Final answer
    x = 985,102.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.