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Finding the Third Proportional to 301,462 and 479,868

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Solution

The third proportional to 301,462 and 479,868 is: 763,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,462 : 479,868 = 479,868 : x
  2. Step 2: Convert to fraction form
    301,462/479,868 = 479,868/x
  3. Step 3: Cross multiply
    301,462x = 479,868 × 479,868
  4. Step 4: Simplify right side
    301,462x = 230,273,297,424
  5. Step 5: Solve for x
    x = 230,273,297,424/301,462
  6. Step 6: Final answer
    x = 763,855.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.