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Finding the Third Proportional to 253,285.88 and 548,603.25

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Solution

The third proportional to 253,285.88 and 548,603.25 is: 1,188,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,285.88 : 548,603.25 = 548,603.25 : x
  2. Step 2: Convert to fraction form
    253,285.88/548,603.25 = 548,603.25/x
  3. Step 3: Cross multiply
    253,285.88x = 548,603.25 × 548,603.25
  4. Step 4: Simplify right side
    253,285.88x = 300,965,525,910.56
  5. Step 5: Solve for x
    x = 300,965,525,910.56/253,285.88
  6. Step 6: Final answer
    x = 1,188,244.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.