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Finding the Third Proportional to 203,424 and 425,448

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Solution

The third proportional to 203,424 and 425,448 is: 889,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,424 : 425,448 = 425,448 : x
  2. Step 2: Convert to fraction form
    203,424/425,448 = 425,448/x
  3. Step 3: Cross multiply
    203,424x = 425,448 × 425,448
  4. Step 4: Simplify right side
    203,424x = 181,006,000,704
  5. Step 5: Solve for x
    x = 181,006,000,704/203,424
  6. Step 6: Final answer
    x = 889,796.68

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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.