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Finding the Third Proportional to 393,183 and 593,509

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Solution

The third proportional to 393,183 and 593,509 is: 895,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,183 : 593,509 = 593,509 : x
  2. Step 2: Convert to fraction form
    393,183/593,509 = 593,509/x
  3. Step 3: Cross multiply
    393,183x = 593,509 × 593,509
  4. Step 4: Simplify right side
    393,183x = 352,252,933,081
  5. Step 5: Solve for x
    x = 352,252,933,081/393,183
  6. Step 6: Final answer
    x = 895,900.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.