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Finding the Third Proportional to 210,879 and 454,975

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Solution

The third proportional to 210,879 and 454,975 is: 981,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,879 : 454,975 = 454,975 : x
  2. Step 2: Convert to fraction form
    210,879/454,975 = 454,975/x
  3. Step 3: Cross multiply
    210,879x = 454,975 × 454,975
  4. Step 4: Simplify right side
    210,879x = 207,002,250,625
  5. Step 5: Solve for x
    x = 207,002,250,625/210,879
  6. Step 6: Final answer
    x = 981,616.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.