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Finding the Third Proportional to 211,627.69 and 451,954.69

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Solution

The third proportional to 211,627.69 and 451,954.69 is: 965,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,627.69 : 451,954.69 = 451,954.69 : x
  2. Step 2: Convert to fraction form
    211,627.69/451,954.69 = 451,954.69/x
  3. Step 3: Cross multiply
    211,627.69x = 451,954.69 × 451,954.69
  4. Step 4: Simplify right side
    211,627.69x = 204,263,039,553.22
  5. Step 5: Solve for x
    x = 204,263,039,553.22/211,627.69
  6. Step 6: Final answer
    x = 965,199.98

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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.