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Finding the Third Proportional to 327,230 and 480,069

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Solution

The third proportional to 327,230 and 480,069 is: 704,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,230 : 480,069 = 480,069 : x
  2. Step 2: Convert to fraction form
    327,230/480,069 = 480,069/x
  3. Step 3: Cross multiply
    327,230x = 480,069 × 480,069
  4. Step 4: Simplify right side
    327,230x = 230,466,244,761
  5. Step 5: Solve for x
    x = 230,466,244,761/327,230
  6. Step 6: Final answer
    x = 704,294.36

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