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Finding the Third Proportional to 252,984.48 and 548,006.77

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Solution

The third proportional to 252,984.48 and 548,006.77 is: 1,187,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,984.48 : 548,006.77 = 548,006.77 : x
  2. Step 2: Convert to fraction form
    252,984.48/548,006.77 = 548,006.77/x
  3. Step 3: Cross multiply
    252,984.48x = 548,006.77 × 548,006.77
  4. Step 4: Simplify right side
    252,984.48x = 300,311,415,170.77
  5. Step 5: Solve for x
    x = 300,311,415,170.77/252,984.48
  6. Step 6: Final answer
    x = 1,187,074.48

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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.