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Finding the Third Proportional to 210,400 and 454,496

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Solution

The third proportional to 210,400 and 454,496 is: 981,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,400 : 454,496 = 454,496 : x
  2. Step 2: Convert to fraction form
    210,400/454,496 = 454,496/x
  3. Step 3: Cross multiply
    210,400x = 454,496 × 454,496
  4. Step 4: Simplify right side
    210,400x = 206,566,614,016
  5. Step 5: Solve for x
    x = 206,566,614,016/210,400
  6. Step 6: Final answer
    x = 981,780.48

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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.