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Finding the Third Proportional to 278,816 and 593,596

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Solution

The third proportional to 278,816 and 593,596 is: 1,263,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,816 : 593,596 = 593,596 : x
  2. Step 2: Convert to fraction form
    278,816/593,596 = 593,596/x
  3. Step 3: Cross multiply
    278,816x = 593,596 × 593,596
  4. Step 4: Simplify right side
    278,816x = 352,356,211,216
  5. Step 5: Solve for x
    x = 352,356,211,216/278,816
  6. Step 6: Final answer
    x = 1,263,758.93

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Why These Related Problems?

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