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Finding the Third Proportional to 283,843 and 425,807

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Solution

The third proportional to 283,843 and 425,807 is: 638,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,843 : 425,807 = 425,807 : x
  2. Step 2: Convert to fraction form
    283,843/425,807 = 425,807/x
  3. Step 3: Cross multiply
    283,843x = 425,807 × 425,807
  4. Step 4: Simplify right side
    283,843x = 181,311,601,249
  5. Step 5: Solve for x
    x = 181,311,601,249/283,843
  6. Step 6: Final answer
    x = 638,774.26

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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.