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Finding the Third Proportional to 203,938 and 440,627

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Solution

The third proportional to 203,938 and 440,627 is: 952,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,938 : 440,627 = 440,627 : x
  2. Step 2: Convert to fraction form
    203,938/440,627 = 440,627/x
  3. Step 3: Cross multiply
    203,938x = 440,627 × 440,627
  4. Step 4: Simplify right side
    203,938x = 194,152,153,129
  5. Step 5: Solve for x
    x = 194,152,153,129/203,938
  6. Step 6: Final answer
    x = 952,015.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.