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Finding the Third Proportional to 205,122 and 443,049

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Solution

The third proportional to 205,122 and 443,049 is: 956,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,122 : 443,049 = 443,049 : x
  2. Step 2: Convert to fraction form
    205,122/443,049 = 443,049/x
  3. Step 3: Cross multiply
    205,122x = 443,049 × 443,049
  4. Step 4: Simplify right side
    205,122x = 196,292,416,401
  5. Step 5: Solve for x
    x = 196,292,416,401/205,122
  6. Step 6: Final answer
    x = 956,954.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.