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Finding the Third Proportional to 283,833 and 425,790

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Solution

The third proportional to 283,833 and 425,790 is: 638,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,833 : 425,790 = 425,790 : x
  2. Step 2: Convert to fraction form
    283,833/425,790 = 425,790/x
  3. Step 3: Cross multiply
    283,833x = 425,790 × 425,790
  4. Step 4: Simplify right side
    283,833x = 181,297,124,100
  5. Step 5: Solve for x
    x = 181,297,124,100/283,833
  6. Step 6: Final answer
    x = 638,745.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.