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Finding the Third Proportional to 211,423 and 443,606

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Solution

The third proportional to 211,423 and 443,606 is: 930,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,423 : 443,606 = 443,606 : x
  2. Step 2: Convert to fraction form
    211,423/443,606 = 443,606/x
  3. Step 3: Cross multiply
    211,423x = 443,606 × 443,606
  4. Step 4: Simplify right side
    211,423x = 196,786,283,236
  5. Step 5: Solve for x
    x = 196,786,283,236/211,423
  6. Step 6: Final answer
    x = 930,770.46

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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.