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Finding the Third Proportional to 275,193.75 and 591,078.75

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Solution

The third proportional to 275,193.75 and 591,078.75 is: 1,269,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,193.75 : 591,078.75 = 591,078.75 : x
  2. Step 2: Convert to fraction form
    275,193.75/591,078.75 = 591,078.75/x
  3. Step 3: Cross multiply
    275,193.75x = 591,078.75 × 591,078.75
  4. Step 4: Simplify right side
    275,193.75x = 349,374,088,701.56
  5. Step 5: Solve for x
    x = 349,374,088,701.56/275,193.75
  6. Step 6: Final answer
    x = 1,269,556.77

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