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Finding the Third Proportional to 204,837 and 426,024

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Solution

The third proportional to 204,837 and 426,024 is: 886,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,837 : 426,024 = 426,024 : x
  2. Step 2: Convert to fraction form
    204,837/426,024 = 426,024/x
  3. Step 3: Cross multiply
    204,837x = 426,024 × 426,024
  4. Step 4: Simplify right side
    204,837x = 181,496,448,576
  5. Step 5: Solve for x
    x = 181,496,448,576/204,837
  6. Step 6: Final answer
    x = 886,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.