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Finding the Third Proportional to 327,243.38 and 480,092.06

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Solution

The third proportional to 327,243.38 and 480,092.06 is: 704,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,243.38 : 480,092.06 = 480,092.06 : x
  2. Step 2: Convert to fraction form
    327,243.38/480,092.06 = 480,092.06/x
  3. Step 3: Cross multiply
    327,243.38x = 480,092.06 × 480,092.06
  4. Step 4: Simplify right side
    327,243.38x = 230,488,388,475.50
  5. Step 5: Solve for x
    x = 230,488,388,475.50/327,243.38
  6. Step 6: Final answer
    x = 704,333.25

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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.