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Finding the Third Proportional to 227,780 and 483,589

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Solution

The third proportional to 227,780 and 483,589 is: 1,026,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,780 : 483,589 = 483,589 : x
  2. Step 2: Convert to fraction form
    227,780/483,589 = 483,589/x
  3. Step 3: Cross multiply
    227,780x = 483,589 × 483,589
  4. Step 4: Simplify right side
    227,780x = 233,858,320,921
  5. Step 5: Solve for x
    x = 233,858,320,921/227,780
  6. Step 6: Final answer
    x = 1,026,685.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.