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Finding the Third Proportional to 206,892 and 322,597

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Solution

The third proportional to 206,892 and 322,597 is: 503,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892 : 322,597 = 322,597 : x
  2. Step 2: Convert to fraction form
    206,892/322,597 = 322,597/x
  3. Step 3: Cross multiply
    206,892x = 322,597 × 322,597
  4. Step 4: Simplify right side
    206,892x = 104,068,824,409
  5. Step 5: Solve for x
    x = 104,068,824,409/206,892
  6. Step 6: Final answer
    x = 503,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.