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Finding the Third Proportional to 251,290.69 and 541,945.69

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Solution

The third proportional to 251,290.69 and 541,945.69 is: 1,168,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,290.69 : 541,945.69 = 541,945.69 : x
  2. Step 2: Convert to fraction form
    251,290.69/541,945.69 = 541,945.69/x
  3. Step 3: Cross multiply
    251,290.69x = 541,945.69 × 541,945.69
  4. Step 4: Simplify right side
    251,290.69x = 293,705,128,199.85
  5. Step 5: Solve for x
    x = 293,705,128,199.85/251,290.69
  6. Step 6: Final answer
    x = 1,168,786.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.