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Finding the Third Proportional to 378,396 and 569,183

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Solution

The third proportional to 378,396 and 569,183 is: 856,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,396 : 569,183 = 569,183 : x
  2. Step 2: Convert to fraction form
    378,396/569,183 = 569,183/x
  3. Step 3: Cross multiply
    378,396x = 569,183 × 569,183
  4. Step 4: Simplify right side
    378,396x = 323,969,287,489
  5. Step 5: Solve for x
    x = 323,969,287,489/378,396
  6. Step 6: Final answer
    x = 856,164.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.