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Finding the Third Proportional to 266,059.69 and 413,081.44

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Solution

The third proportional to 266,059.69 and 413,081.44 is: 641,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,059.69 : 413,081.44 = 413,081.44 : x
  2. Step 2: Convert to fraction form
    266,059.69/413,081.44 = 413,081.44/x
  3. Step 3: Cross multiply
    266,059.69x = 413,081.44 × 413,081.44
  4. Step 4: Simplify right side
    266,059.69x = 170,636,274,007.07
  5. Step 5: Solve for x
    x = 170,636,274,007.07/266,059.69
  6. Step 6: Final answer
    x = 641,345.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.