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Finding the Third Proportional to 210,874 and 454,962

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Solution

The third proportional to 210,874 and 454,962 is: 981,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874 : 454,962 = 454,962 : x
  2. Step 2: Convert to fraction form
    210,874/454,962 = 454,962/x
  3. Step 3: Cross multiply
    210,874x = 454,962 × 454,962
  4. Step 4: Simplify right side
    210,874x = 206,990,421,444
  5. Step 5: Solve for x
    x = 206,990,421,444/210,874
  6. Step 6: Final answer
    x = 981,583.42

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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.