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Finding the Third Proportional to 252,883.69 and 541,837.69

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Solution

The third proportional to 252,883.69 and 541,837.69 is: 1,160,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,883.69 : 541,837.69 = 541,837.69 : x
  2. Step 2: Convert to fraction form
    252,883.69/541,837.69 = 541,837.69/x
  3. Step 3: Cross multiply
    252,883.69x = 541,837.69 × 541,837.69
  4. Step 4: Simplify right side
    252,883.69x = 293,588,079,595.35
  5. Step 5: Solve for x
    x = 293,588,079,595.35/252,883.69
  6. Step 6: Final answer
    x = 1,160,960.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.