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Finding the Third Proportional to 209,922 and 443,556

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Solution

The third proportional to 209,922 and 443,556 is: 937,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,922 : 443,556 = 443,556 : x
  2. Step 2: Convert to fraction form
    209,922/443,556 = 443,556/x
  3. Step 3: Cross multiply
    209,922x = 443,556 × 443,556
  4. Step 4: Simplify right side
    209,922x = 196,741,925,136
  5. Step 5: Solve for x
    x = 196,741,925,136/209,922
  6. Step 6: Final answer
    x = 937,214.42

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