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Finding the Third Proportional to 394,812 and 562,690.50

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Solution

The third proportional to 394,812 and 562,690.50 is: 801,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,812 : 562,690.50 = 562,690.50 : x
  2. Step 2: Convert to fraction form
    394,812/562,690.50 = 562,690.50/x
  3. Step 3: Cross multiply
    394,812x = 562,690.50 × 562,690.50
  4. Step 4: Simplify right side
    394,812x = 316,620,598,790.25
  5. Step 5: Solve for x
    x = 316,620,598,790.25/394,812
  6. Step 6: Final answer
    x = 801,952.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.