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Finding the Third Proportional to 327,229.88 and 480,071.81

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Solution

The third proportional to 327,229.88 and 480,071.81 is: 704,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229.88 : 480,071.81 = 480,071.81 : x
  2. Step 2: Convert to fraction form
    327,229.88/480,071.81 = 480,071.81/x
  3. Step 3: Cross multiply
    327,229.88x = 480,071.81 × 480,071.81
  4. Step 4: Simplify right side
    327,229.88x = 230,468,945,157.04
  5. Step 5: Solve for x
    x = 230,468,945,157.04/327,229.88
  6. Step 6: Final answer
    x = 704,302.89

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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.