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Finding the Third Proportional to 210,982 and 454,952

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Solution

The third proportional to 210,982 and 454,952 is: 981,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,982 : 454,952 = 454,952 : x
  2. Step 2: Convert to fraction form
    210,982/454,952 = 454,952/x
  3. Step 3: Cross multiply
    210,982x = 454,952 × 454,952
  4. Step 4: Simplify right side
    210,982x = 206,981,322,304
  5. Step 5: Solve for x
    x = 206,981,322,304/210,982
  6. Step 6: Final answer
    x = 981,037.82

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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.