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Finding the Third Proportional to 394,297.50 and 617,724

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Solution

The third proportional to 394,297.50 and 617,724 is: 967,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,297.50 : 617,724 = 617,724 : x
  2. Step 2: Convert to fraction form
    394,297.50/617,724 = 617,724/x
  3. Step 3: Cross multiply
    394,297.50x = 617,724 × 617,724
  4. Step 4: Simplify right side
    394,297.50x = 381,582,940,176
  5. Step 5: Solve for x
    x = 381,582,940,176/394,297.50
  6. Step 6: Final answer
    x = 967,753.89

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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.