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Finding the Third Proportional to 203,670 and 481,554

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Solution

The third proportional to 203,670 and 481,554 is: 1,138,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 481,554 = 481,554 : x
  2. Step 2: Convert to fraction form
    203,670/481,554 = 481,554/x
  3. Step 3: Cross multiply
    203,670x = 481,554 × 481,554
  4. Step 4: Simplify right side
    203,670x = 231,894,254,916
  5. Step 5: Solve for x
    x = 231,894,254,916/203,670
  6. Step 6: Final answer
    x = 1,138,578.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.