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Finding the Third Proportional to 303,654 and 453,027

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Solution

The third proportional to 303,654 and 453,027 is: 675,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654 : 453,027 = 453,027 : x
  2. Step 2: Convert to fraction form
    303,654/453,027 = 453,027/x
  3. Step 3: Cross multiply
    303,654x = 453,027 × 453,027
  4. Step 4: Simplify right side
    303,654x = 205,233,462,729
  5. Step 5: Solve for x
    x = 205,233,462,729/303,654
  6. Step 6: Final answer
    x = 675,879.33

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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.