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Finding the Third Proportional to 483,122 and 656,067

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Solution

The third proportional to 483,122 and 656,067 is: 890,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,122 : 656,067 = 656,067 : x
  2. Step 2: Convert to fraction form
    483,122/656,067 = 656,067/x
  3. Step 3: Cross multiply
    483,122x = 656,067 × 656,067
  4. Step 4: Simplify right side
    483,122x = 430,423,908,489
  5. Step 5: Solve for x
    x = 430,423,908,489/483,122
  6. Step 6: Final answer
    x = 890,921.77

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Why These Related Problems?

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