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Finding the Third Proportional to 327,226 and 480,065

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Solution

The third proportional to 327,226 and 480,065 is: 704,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,226 : 480,065 = 480,065 : x
  2. Step 2: Convert to fraction form
    327,226/480,065 = 480,065/x
  3. Step 3: Cross multiply
    327,226x = 480,065 × 480,065
  4. Step 4: Simplify right side
    327,226x = 230,462,404,225
  5. Step 5: Solve for x
    x = 230,462,404,225/327,226
  6. Step 6: Final answer
    x = 704,291.24

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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.