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Finding the Third Proportional to 206,523 and 451,926

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Solution

The third proportional to 206,523 and 451,926 is: 988,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523 : 451,926 = 451,926 : x
  2. Step 2: Convert to fraction form
    206,523/451,926 = 451,926/x
  3. Step 3: Cross multiply
    206,523x = 451,926 × 451,926
  4. Step 4: Simplify right side
    206,523x = 204,237,109,476
  5. Step 5: Solve for x
    x = 204,237,109,476/206,523
  6. Step 6: Final answer
    x = 988,931.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.