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Finding the Third Proportional to 383,150 and 563,589

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Solution

The third proportional to 383,150 and 563,589 is: 829,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,150 : 563,589 = 563,589 : x
  2. Step 2: Convert to fraction form
    383,150/563,589 = 563,589/x
  3. Step 3: Cross multiply
    383,150x = 563,589 × 563,589
  4. Step 4: Simplify right side
    383,150x = 317,632,560,921
  5. Step 5: Solve for x
    x = 317,632,560,921/383,150
  6. Step 6: Final answer
    x = 829,003.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.