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Finding the Third Proportional to 379,112 and 570,206

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Solution

The third proportional to 379,112 and 570,206 is: 857,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,112 : 570,206 = 570,206 : x
  2. Step 2: Convert to fraction form
    379,112/570,206 = 570,206/x
  3. Step 3: Cross multiply
    379,112x = 570,206 × 570,206
  4. Step 4: Simplify right side
    379,112x = 325,134,882,436
  5. Step 5: Solve for x
    x = 325,134,882,436/379,112
  6. Step 6: Final answer
    x = 857,622.24

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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.