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Finding the Third Proportional to 206,985 and 451,878

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Solution

The third proportional to 206,985 and 451,878 is: 986,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985 : 451,878 = 451,878 : x
  2. Step 2: Convert to fraction form
    206,985/451,878 = 451,878/x
  3. Step 3: Cross multiply
    206,985x = 451,878 × 451,878
  4. Step 4: Simplify right side
    206,985x = 204,193,726,884
  5. Step 5: Solve for x
    x = 204,193,726,884/206,985
  6. Step 6: Final answer
    x = 986,514.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.