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Finding the Third Proportional to 203,425 and 425,438

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Solution

The third proportional to 203,425 and 425,438 is: 889,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425 : 425,438 = 425,438 : x
  2. Step 2: Convert to fraction form
    203,425/425,438 = 425,438/x
  3. Step 3: Cross multiply
    203,425x = 425,438 × 425,438
  4. Step 4: Simplify right side
    203,425x = 180,997,491,844
  5. Step 5: Solve for x
    x = 180,997,491,844/203,425
  6. Step 6: Final answer
    x = 889,750.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.