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Finding the Third Proportional to 383,568 and 600,396

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Solution

The third proportional to 383,568 and 600,396 is: 939,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,568 : 600,396 = 600,396 : x
  2. Step 2: Convert to fraction form
    383,568/600,396 = 600,396/x
  3. Step 3: Cross multiply
    383,568x = 600,396 × 600,396
  4. Step 4: Simplify right side
    383,568x = 360,475,356,816
  5. Step 5: Solve for x
    x = 360,475,356,816/383,568
  6. Step 6: Final answer
    x = 939,795.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.