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Finding the Third Proportional to 275,954 and 603,568

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Solution

The third proportional to 275,954 and 603,568 is: 1,320,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,954 : 603,568 = 603,568 : x
  2. Step 2: Convert to fraction form
    275,954/603,568 = 603,568/x
  3. Step 3: Cross multiply
    275,954x = 603,568 × 603,568
  4. Step 4: Simplify right side
    275,954x = 364,294,330,624
  5. Step 5: Solve for x
    x = 364,294,330,624/275,954
  6. Step 6: Final answer
    x = 1,320,127.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.