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Finding the Third Proportional to 206,524.50 and 451,929

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Solution

The third proportional to 206,524.50 and 451,929 is: 988,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,524.50 : 451,929 = 451,929 : x
  2. Step 2: Convert to fraction form
    206,524.50/451,929 = 451,929/x
  3. Step 3: Cross multiply
    206,524.50x = 451,929 × 451,929
  4. Step 4: Simplify right side
    206,524.50x = 204,239,821,041
  5. Step 5: Solve for x
    x = 204,239,821,041/206,524.50
  6. Step 6: Final answer
    x = 988,937.49

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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.