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Finding the Third Proportional to 200,566.13 and 413,844.19

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Solution

The third proportional to 200,566.13 and 413,844.19 is: 853,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,566.13 : 413,844.19 = 413,844.19 : x
  2. Step 2: Convert to fraction form
    200,566.13/413,844.19 = 413,844.19/x
  3. Step 3: Cross multiply
    200,566.13x = 413,844.19 × 413,844.19
  4. Step 4: Simplify right side
    200,566.13x = 171,267,011,527.54
  5. Step 5: Solve for x
    x = 171,267,011,527.54/200,566.13
  6. Step 6: Final answer
    x = 853,917.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.