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Finding the Third Proportional to 278,799.75 and 593,563.50

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Solution

The third proportional to 278,799.75 and 593,563.50 is: 1,263,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,799.75 : 593,563.50 = 593,563.50 : x
  2. Step 2: Convert to fraction form
    278,799.75/593,563.50 = 593,563.50/x
  3. Step 3: Cross multiply
    278,799.75x = 593,563.50 × 593,563.50
  4. Step 4: Simplify right side
    278,799.75x = 352,317,628,532.25
  5. Step 5: Solve for x
    x = 352,317,628,532.25/278,799.75
  6. Step 6: Final answer
    x = 1,263,694.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.