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Finding the Third Proportional to 431,296 and 664,800

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Solution

The third proportional to 431,296 and 664,800 is: 1,024,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,296 : 664,800 = 664,800 : x
  2. Step 2: Convert to fraction form
    431,296/664,800 = 664,800/x
  3. Step 3: Cross multiply
    431,296x = 664,800 × 664,800
  4. Step 4: Simplify right side
    431,296x = 441,959,040,000
  5. Step 5: Solve for x
    x = 441,959,040,000/431,296
  6. Step 6: Final answer
    x = 1,024,723.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.