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Finding the Third Proportional to 269,839.69 and 594,010.13

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Solution

The third proportional to 269,839.69 and 594,010.13 is: 1,307,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,839.69 : 594,010.13 = 594,010.13 : x
  2. Step 2: Convert to fraction form
    269,839.69/594,010.13 = 594,010.13/x
  3. Step 3: Cross multiply
    269,839.69x = 594,010.13 × 594,010.13
  4. Step 4: Simplify right side
    269,839.69x = 352,848,028,602.52
  5. Step 5: Solve for x
    x = 352,848,028,602.52/269,839.69
  6. Step 6: Final answer
    x = 1,307,620.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.