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Finding the Third Proportional to 303,537.75 and 445,464.75

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Solution

The third proportional to 303,537.75 and 445,464.75 is: 653,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,537.75 : 445,464.75 = 445,464.75 : x
  2. Step 2: Convert to fraction form
    303,537.75/445,464.75 = 445,464.75/x
  3. Step 3: Cross multiply
    303,537.75x = 445,464.75 × 445,464.75
  4. Step 4: Simplify right side
    303,537.75x = 198,438,843,492.56
  5. Step 5: Solve for x
    x = 198,438,843,492.56/303,537.75
  6. Step 6: Final answer
    x = 653,753.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.