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Finding the Third Proportional to 206,579 and 443,290

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Solution

The third proportional to 206,579 and 443,290 is: 951,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,579 : 443,290 = 443,290 : x
  2. Step 2: Convert to fraction form
    206,579/443,290 = 443,290/x
  3. Step 3: Cross multiply
    206,579x = 443,290 × 443,290
  4. Step 4: Simplify right side
    206,579x = 196,506,024,100
  5. Step 5: Solve for x
    x = 196,506,024,100/206,579
  6. Step 6: Final answer
    x = 951,239.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.