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Finding the Third Proportional to 379,082 and 570,162

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Solution

The third proportional to 379,082 and 570,162 is: 857,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,082 : 570,162 = 570,162 : x
  2. Step 2: Convert to fraction form
    379,082/570,162 = 570,162/x
  3. Step 3: Cross multiply
    379,082x = 570,162 × 570,162
  4. Step 4: Simplify right side
    379,082x = 325,084,706,244
  5. Step 5: Solve for x
    x = 325,084,706,244/379,082
  6. Step 6: Final answer
    x = 857,557.75

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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.