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Finding the Third Proportional to 211,296 and 464,064

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Solution

The third proportional to 211,296 and 464,064 is: 1,019,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296 : 464,064 = 464,064 : x
  2. Step 2: Convert to fraction form
    211,296/464,064 = 464,064/x
  3. Step 3: Cross multiply
    211,296x = 464,064 × 464,064
  4. Step 4: Simplify right side
    211,296x = 215,355,396,096
  5. Step 5: Solve for x
    x = 215,355,396,096/211,296
  6. Step 6: Final answer
    x = 1,019,211.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.