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Finding the Third Proportional to 236,661 and 520,652

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Solution

The third proportional to 236,661 and 520,652 is: 1,145,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,661 : 520,652 = 520,652 : x
  2. Step 2: Convert to fraction form
    236,661/520,652 = 520,652/x
  3. Step 3: Cross multiply
    236,661x = 520,652 × 520,652
  4. Step 4: Simplify right side
    236,661x = 271,078,505,104
  5. Step 5: Solve for x
    x = 271,078,505,104/236,661
  6. Step 6: Final answer
    x = 1,145,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.