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Finding the Third Proportional to 328,983 and 482,067

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Solution

The third proportional to 328,983 and 482,067 is: 706,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,983 : 482,067 = 482,067 : x
  2. Step 2: Convert to fraction form
    328,983/482,067 = 482,067/x
  3. Step 3: Cross multiply
    328,983x = 482,067 × 482,067
  4. Step 4: Simplify right side
    328,983x = 232,388,592,489
  5. Step 5: Solve for x
    x = 232,388,592,489/328,983
  6. Step 6: Final answer
    x = 706,384.81

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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.