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Finding the Third Proportional to 211,974.75 and 454,659.75

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Solution

The third proportional to 211,974.75 and 454,659.75 is: 975,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,974.75 : 454,659.75 = 454,659.75 : x
  2. Step 2: Convert to fraction form
    211,974.75/454,659.75 = 454,659.75/x
  3. Step 3: Cross multiply
    211,974.75x = 454,659.75 × 454,659.75
  4. Step 4: Simplify right side
    211,974.75x = 206,715,488,270.06
  5. Step 5: Solve for x
    x = 206,715,488,270.06/211,974.75
  6. Step 6: Final answer
    x = 975,189.21

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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.