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Finding the Third Proportional to 327,230 and 480,073

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Solution

The third proportional to 327,230 and 480,073 is: 704,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,230 : 480,073 = 480,073 : x
  2. Step 2: Convert to fraction form
    327,230/480,073 = 480,073/x
  3. Step 3: Cross multiply
    327,230x = 480,073 × 480,073
  4. Step 4: Simplify right side
    327,230x = 230,470,085,329
  5. Step 5: Solve for x
    x = 230,470,085,329/327,230
  6. Step 6: Final answer
    x = 704,306.10

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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.