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Finding the Third Proportional to 203,481 and 425,549

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Solution

The third proportional to 203,481 and 425,549 is: 889,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481 : 425,549 = 425,549 : x
  2. Step 2: Convert to fraction form
    203,481/425,549 = 425,549/x
  3. Step 3: Cross multiply
    203,481x = 425,549 × 425,549
  4. Step 4: Simplify right side
    203,481x = 181,091,951,401
  5. Step 5: Solve for x
    x = 181,091,951,401/203,481
  6. Step 6: Final answer
    x = 889,969.83

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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.