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Finding the Third Proportional to 211,524 and 443,800

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Solution

The third proportional to 211,524 and 443,800 is: 931,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 443,800 = 443,800 : x
  2. Step 2: Convert to fraction form
    211,524/443,800 = 443,800/x
  3. Step 3: Cross multiply
    211,524x = 443,800 × 443,800
  4. Step 4: Simplify right side
    211,524x = 196,958,440,000
  5. Step 5: Solve for x
    x = 196,958,440,000/211,524
  6. Step 6: Final answer
    x = 931,139.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.