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Finding the Third Proportional to 278,750 and 593,458

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Solution

The third proportional to 278,750 and 593,458 is: 1,263,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,750 : 593,458 = 593,458 : x
  2. Step 2: Convert to fraction form
    278,750/593,458 = 593,458/x
  3. Step 3: Cross multiply
    278,750x = 593,458 × 593,458
  4. Step 4: Simplify right side
    278,750x = 352,192,397,764
  5. Step 5: Solve for x
    x = 352,192,397,764/278,750
  6. Step 6: Final answer
    x = 1,263,470.49

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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.