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Finding the Third Proportional to 206,974 and 452,693

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Solution

The third proportional to 206,974 and 452,693 is: 990,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974 : 452,693 = 452,693 : x
  2. Step 2: Convert to fraction form
    206,974/452,693 = 452,693/x
  3. Step 3: Cross multiply
    206,974x = 452,693 × 452,693
  4. Step 4: Simplify right side
    206,974x = 204,930,952,249
  5. Step 5: Solve for x
    x = 204,930,952,249/206,974
  6. Step 6: Final answer
    x = 990,128.96

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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.