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Finding the Third Proportional to 275,667.94 and 593,573.44

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Solution

The third proportional to 275,667.94 and 593,573.44 is: 1,278,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,667.94 : 593,573.44 = 593,573.44 : x
  2. Step 2: Convert to fraction form
    275,667.94/593,573.44 = 593,573.44/x
  3. Step 3: Cross multiply
    275,667.94x = 593,573.44 × 593,573.44
  4. Step 4: Simplify right side
    275,667.94x = 352,329,425,705.57
  5. Step 5: Solve for x
    x = 352,329,425,705.57/275,667.94
  6. Step 6: Final answer
    x = 1,278,093.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.