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Finding the Third Proportional to 194,470 and 426,956

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Solution

The third proportional to 194,470 and 426,956 is: 937,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,470 : 426,956 = 426,956 : x
  2. Step 2: Convert to fraction form
    194,470/426,956 = 426,956/x
  3. Step 3: Cross multiply
    194,470x = 426,956 × 426,956
  4. Step 4: Simplify right side
    194,470x = 182,291,425,936
  5. Step 5: Solve for x
    x = 182,291,425,936/194,470
  6. Step 6: Final answer
    x = 937,375.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.