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Finding the Third Proportional to 483,086 and 656,012

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Solution

The third proportional to 483,086 and 656,012 is: 890,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,086 : 656,012 = 656,012 : x
  2. Step 2: Convert to fraction form
    483,086/656,012 = 656,012/x
  3. Step 3: Cross multiply
    483,086x = 656,012 × 656,012
  4. Step 4: Simplify right side
    483,086x = 430,351,744,144
  5. Step 5: Solve for x
    x = 430,351,744,144/483,086
  6. Step 6: Final answer
    x = 890,838.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.