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Finding the Third Proportional to 211,633.69 and 451,969.13

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Solution

The third proportional to 211,633.69 and 451,969.13 is: 965,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,633.69 : 451,969.13 = 451,969.13 : x
  2. Step 2: Convert to fraction form
    211,633.69/451,969.13 = 451,969.13/x
  3. Step 3: Cross multiply
    211,633.69x = 451,969.13 × 451,969.13
  4. Step 4: Simplify right side
    211,633.69x = 204,276,089,953.27
  5. Step 5: Solve for x
    x = 204,276,089,953.27/211,633.69
  6. Step 6: Final answer
    x = 965,234.28

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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.