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Finding the Third Proportional to 285,552 and 593,568

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Solution

The third proportional to 285,552 and 593,568 is: 1,233,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,552 : 593,568 = 593,568 : x
  2. Step 2: Convert to fraction form
    285,552/593,568 = 593,568/x
  3. Step 3: Cross multiply
    285,552x = 593,568 × 593,568
  4. Step 4: Simplify right side
    285,552x = 352,322,970,624
  5. Step 5: Solve for x
    x = 352,322,970,624/285,552
  6. Step 6: Final answer
    x = 1,233,831.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.