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Finding the Third Proportional to 203,699 and 443,830

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Solution

The third proportional to 203,699 and 443,830 is: 967,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,699 : 443,830 = 443,830 : x
  2. Step 2: Convert to fraction form
    203,699/443,830 = 443,830/x
  3. Step 3: Cross multiply
    203,699x = 443,830 × 443,830
  4. Step 4: Simplify right side
    203,699x = 196,985,068,900
  5. Step 5: Solve for x
    x = 196,985,068,900/203,699
  6. Step 6: Final answer
    x = 967,039.94

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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.