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Finding the Third Proportional to 303,036 and 451,927

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Solution

The third proportional to 303,036 and 451,927 is: 673,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,036 : 451,927 = 451,927 : x
  2. Step 2: Convert to fraction form
    303,036/451,927 = 451,927/x
  3. Step 3: Cross multiply
    303,036x = 451,927 × 451,927
  4. Step 4: Simplify right side
    303,036x = 204,238,013,329
  5. Step 5: Solve for x
    x = 204,238,013,329/303,036
  6. Step 6: Final answer
    x = 673,972.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.