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Finding the Third Proportional to 194,494 and 429,812

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Solution

The third proportional to 194,494 and 429,812 is: 949,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,494 : 429,812 = 429,812 : x
  2. Step 2: Convert to fraction form
    194,494/429,812 = 429,812/x
  3. Step 3: Cross multiply
    194,494x = 429,812 × 429,812
  4. Step 4: Simplify right side
    194,494x = 184,738,355,344
  5. Step 5: Solve for x
    x = 184,738,355,344/194,494
  6. Step 6: Final answer
    x = 949,840.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.