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Finding the Third Proportional to 206,977 and 453,698

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Solution

The third proportional to 206,977 and 453,698 is: 994,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977 : 453,698 = 453,698 : x
  2. Step 2: Convert to fraction form
    206,977/453,698 = 453,698/x
  3. Step 3: Cross multiply
    206,977x = 453,698 × 453,698
  4. Step 4: Simplify right side
    206,977x = 205,841,875,204
  5. Step 5: Solve for x
    x = 205,841,875,204/206,977
  6. Step 6: Final answer
    x = 994,515.70

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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.