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Finding the Third Proportional to 209,920 and 443,552

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Solution

The third proportional to 209,920 and 443,552 is: 937,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920 : 443,552 = 443,552 : x
  2. Step 2: Convert to fraction form
    209,920/443,552 = 443,552/x
  3. Step 3: Cross multiply
    209,920x = 443,552 × 443,552
  4. Step 4: Simplify right side
    209,920x = 196,738,376,704
  5. Step 5: Solve for x
    x = 196,738,376,704/209,920
  6. Step 6: Final answer
    x = 937,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.