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Finding the Third Proportional to 253,828.69 and 541,912.78

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Solution

The third proportional to 253,828.69 and 541,912.78 is: 1,156,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,828.69 : 541,912.78 = 541,912.78 : x
  2. Step 2: Convert to fraction form
    253,828.69/541,912.78 = 541,912.78/x
  3. Step 3: Cross multiply
    253,828.69x = 541,912.78 × 541,912.78
  4. Step 4: Simplify right side
    253,828.69x = 293,669,462,482.11
  5. Step 5: Solve for x
    x = 293,669,462,482.11/253,828.69
  6. Step 6: Final answer
    x = 1,156,959.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.