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Finding the Third Proportional to 211,789.13 and 412,935.75

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Solution

The third proportional to 211,789.13 and 412,935.75 is: 805,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,789.13 : 412,935.75 = 412,935.75 : x
  2. Step 2: Convert to fraction form
    211,789.13/412,935.75 = 412,935.75/x
  3. Step 3: Cross multiply
    211,789.13x = 412,935.75 × 412,935.75
  4. Step 4: Simplify right side
    211,789.13x = 170,515,933,628.06
  5. Step 5: Solve for x
    x = 170,515,933,628.06/211,789.13
  6. Step 6: Final answer
    x = 805,121.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.