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Finding the Third Proportional to 205,011 and 443,718

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Solution

The third proportional to 205,011 and 443,718 is: 960,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,011 : 443,718 = 443,718 : x
  2. Step 2: Convert to fraction form
    205,011/443,718 = 443,718/x
  3. Step 3: Cross multiply
    205,011x = 443,718 × 443,718
  4. Step 4: Simplify right side
    205,011x = 196,885,663,524
  5. Step 5: Solve for x
    x = 196,885,663,524/205,011
  6. Step 6: Final answer
    x = 960,366.34

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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.