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Finding the Third Proportional to 383,647.50 and 601,857

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Solution

The third proportional to 383,647.50 and 601,857 is: 944,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,647.50 : 601,857 = 601,857 : x
  2. Step 2: Convert to fraction form
    383,647.50/601,857 = 601,857/x
  3. Step 3: Cross multiply
    383,647.50x = 601,857 × 601,857
  4. Step 4: Simplify right side
    383,647.50x = 362,231,848,449
  5. Step 5: Solve for x
    x = 362,231,848,449/383,647.50
  6. Step 6: Final answer
    x = 944,178.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.