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Finding the Third Proportional to 483,089 and 656,016

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Solution

The third proportional to 483,089 and 656,016 is: 890,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,089 : 656,016 = 656,016 : x
  2. Step 2: Convert to fraction form
    483,089/656,016 = 656,016/x
  3. Step 3: Cross multiply
    483,089x = 656,016 × 656,016
  4. Step 4: Simplify right side
    483,089x = 430,356,992,256
  5. Step 5: Solve for x
    x = 430,356,992,256/483,089
  6. Step 6: Final answer
    x = 890,844.11

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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.