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Finding the Third Proportional to 405,728 and 593,568

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Solution

The third proportional to 405,728 and 593,568 is: 868,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,728 : 593,568 = 593,568 : x
  2. Step 2: Convert to fraction form
    405,728/593,568 = 593,568/x
  3. Step 3: Cross multiply
    405,728x = 593,568 × 593,568
  4. Step 4: Simplify right side
    405,728x = 352,322,970,624
  5. Step 5: Solve for x
    x = 352,322,970,624/405,728
  6. Step 6: Final answer
    x = 868,372.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.