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Finding the Third Proportional to 252,517.50 and 554,102.44

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Solution

The third proportional to 252,517.50 and 554,102.44 is: 1,215,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,517.50 : 554,102.44 = 554,102.44 : x
  2. Step 2: Convert to fraction form
    252,517.50/554,102.44 = 554,102.44/x
  3. Step 3: Cross multiply
    252,517.50x = 554,102.44 × 554,102.44
  4. Step 4: Simplify right side
    252,517.50x = 307,029,511,243.44
  5. Step 5: Solve for x
    x = 307,029,511,243.44/252,517.50
  6. Step 6: Final answer
    x = 1,215,874.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.