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Finding the Third Proportional to 301,695.75 and 447,324.75

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Solution

The third proportional to 301,695.75 and 447,324.75 is: 663,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,695.75 : 447,324.75 = 447,324.75 : x
  2. Step 2: Convert to fraction form
    301,695.75/447,324.75 = 447,324.75/x
  3. Step 3: Cross multiply
    301,695.75x = 447,324.75 × 447,324.75
  4. Step 4: Simplify right side
    301,695.75x = 200,099,431,962.56
  5. Step 5: Solve for x
    x = 200,099,431,962.56/301,695.75
  6. Step 6: Final answer
    x = 663,249.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.