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Finding the Third Proportional to 227,044.13 and 513,069.75

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Solution

The third proportional to 227,044.13 and 513,069.75 is: 1,159,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,044.13 : 513,069.75 = 513,069.75 : x
  2. Step 2: Convert to fraction form
    227,044.13/513,069.75 = 513,069.75/x
  3. Step 3: Cross multiply
    227,044.13x = 513,069.75 × 513,069.75
  4. Step 4: Simplify right side
    227,044.13x = 263,240,568,365.06
  5. Step 5: Solve for x
    x = 263,240,568,365.06/227,044.13
  6. Step 6: Final answer
    x = 1,159,424.71

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.