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Finding the Third Proportional to 203,619 and 438,453

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Solution

The third proportional to 203,619 and 438,453 is: 944,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,619 : 438,453 = 438,453 : x
  2. Step 2: Convert to fraction form
    203,619/438,453 = 438,453/x
  3. Step 3: Cross multiply
    203,619x = 438,453 × 438,453
  4. Step 4: Simplify right side
    203,619x = 192,241,033,209
  5. Step 5: Solve for x
    x = 192,241,033,209/203,619
  6. Step 6: Final answer
    x = 944,121.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.