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Finding the Third Proportional to 211,975 and 454,662

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Solution

The third proportional to 211,975 and 454,662 is: 975,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,975 : 454,662 = 454,662 : x
  2. Step 2: Convert to fraction form
    211,975/454,662 = 454,662/x
  3. Step 3: Cross multiply
    211,975x = 454,662 × 454,662
  4. Step 4: Simplify right side
    211,975x = 206,717,534,244
  5. Step 5: Solve for x
    x = 206,717,534,244/211,975
  6. Step 6: Final answer
    x = 975,197.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.