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Finding the Third Proportional to 321,926 and 481,188

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Solution

The third proportional to 321,926 and 481,188 is: 719,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,926 : 481,188 = 481,188 : x
  2. Step 2: Convert to fraction form
    321,926/481,188 = 481,188/x
  3. Step 3: Cross multiply
    321,926x = 481,188 × 481,188
  4. Step 4: Simplify right side
    321,926x = 231,541,891,344
  5. Step 5: Solve for x
    x = 231,541,891,344/321,926
  6. Step 6: Final answer
    x = 719,239.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.