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Finding the Third Proportional to 327,064 and 479,828

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Solution

The third proportional to 327,064 and 479,828 is: 703,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,064 : 479,828 = 479,828 : x
  2. Step 2: Convert to fraction form
    327,064/479,828 = 479,828/x
  3. Step 3: Cross multiply
    327,064x = 479,828 × 479,828
  4. Step 4: Simplify right side
    327,064x = 230,234,909,584
  5. Step 5: Solve for x
    x = 230,234,909,584/327,064
  6. Step 6: Final answer
    x = 703,944.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.