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Finding the Third Proportional to 393,905.25 and 617,271.75

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Solution

The third proportional to 393,905.25 and 617,271.75 is: 967,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,905.25 : 617,271.75 = 617,271.75 : x
  2. Step 2: Convert to fraction form
    393,905.25/617,271.75 = 617,271.75/x
  3. Step 3: Cross multiply
    393,905.25x = 617,271.75 × 617,271.75
  4. Step 4: Simplify right side
    393,905.25x = 381,024,413,348.06
  5. Step 5: Solve for x
    x = 381,024,413,348.06/393,905.25
  6. Step 6: Final answer
    x = 967,299.66

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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.