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Finding the Third Proportional to 361,141 and 483,147

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Solution

The third proportional to 361,141 and 483,147 is: 646,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,141 : 483,147 = 483,147 : x
  2. Step 2: Convert to fraction form
    361,141/483,147 = 483,147/x
  3. Step 3: Cross multiply
    361,141x = 483,147 × 483,147
  4. Step 4: Simplify right side
    361,141x = 233,431,023,609
  5. Step 5: Solve for x
    x = 233,431,023,609/361,141
  6. Step 6: Final answer
    x = 646,370.87

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.