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Finding the Third Proportional to 378,422 and 569,230

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Solution

The third proportional to 378,422 and 569,230 is: 856,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,422 : 569,230 = 569,230 : x
  2. Step 2: Convert to fraction form
    378,422/569,230 = 569,230/x
  3. Step 3: Cross multiply
    378,422x = 569,230 × 569,230
  4. Step 4: Simplify right side
    378,422x = 324,022,792,900
  5. Step 5: Solve for x
    x = 324,022,792,900/378,422
  6. Step 6: Final answer
    x = 856,247.24

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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.