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Finding the Third Proportional to 206,986 and 453,714

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Solution

The third proportional to 206,986 and 453,714 is: 994,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,986 : 453,714 = 453,714 : x
  2. Step 2: Convert to fraction form
    206,986/453,714 = 453,714/x
  3. Step 3: Cross multiply
    206,986x = 453,714 × 453,714
  4. Step 4: Simplify right side
    206,986x = 205,856,393,796
  5. Step 5: Solve for x
    x = 205,856,393,796/206,986
  6. Step 6: Final answer
    x = 994,542.60

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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.