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Finding the Third Proportional to 394,533 and 610,213.50

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Solution

The third proportional to 394,533 and 610,213.50 is: 943,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,533 : 610,213.50 = 610,213.50 : x
  2. Step 2: Convert to fraction form
    394,533/610,213.50 = 610,213.50/x
  3. Step 3: Cross multiply
    394,533x = 610,213.50 × 610,213.50
  4. Step 4: Simplify right side
    394,533x = 372,360,515,582.25
  5. Step 5: Solve for x
    x = 372,360,515,582.25/394,533
  6. Step 6: Final answer
    x = 943,800.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.