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Finding the Third Proportional to 194,811 and 419,714

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Solution

The third proportional to 194,811 and 419,714 is: 904,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811 : 419,714 = 419,714 : x
  2. Step 2: Convert to fraction form
    194,811/419,714 = 419,714/x
  3. Step 3: Cross multiply
    194,811x = 419,714 × 419,714
  4. Step 4: Simplify right side
    194,811x = 176,159,841,796
  5. Step 5: Solve for x
    x = 176,159,841,796/194,811
  6. Step 6: Final answer
    x = 904,260.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.