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Finding the Third Proportional to 275,671.69 and 593,581.50

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Solution

The third proportional to 275,671.69 and 593,581.50 is: 1,278,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,671.69 : 593,581.50 = 593,581.50 : x
  2. Step 2: Convert to fraction form
    275,671.69/593,581.50 = 593,581.50/x
  3. Step 3: Cross multiply
    275,671.69x = 593,581.50 × 593,581.50
  4. Step 4: Simplify right side
    275,671.69x = 352,338,997,142.25
  5. Step 5: Solve for x
    x = 352,338,997,142.25/275,671.69
  6. Step 6: Final answer
    x = 1,278,110.93

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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.