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Finding the Third Proportional to 206,948 and 443,410

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Solution

The third proportional to 206,948 and 443,410 is: 950,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,948 : 443,410 = 443,410 : x
  2. Step 2: Convert to fraction form
    206,948/443,410 = 443,410/x
  3. Step 3: Cross multiply
    206,948x = 443,410 × 443,410
  4. Step 4: Simplify right side
    206,948x = 196,612,428,100
  5. Step 5: Solve for x
    x = 196,612,428,100/206,948
  6. Step 6: Final answer
    x = 950,057.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.