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Finding the Third Proportional to 194,829 and 419,754

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Solution

The third proportional to 194,829 and 419,754 is: 904,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,829 : 419,754 = 419,754 : x
  2. Step 2: Convert to fraction form
    194,829/419,754 = 419,754/x
  3. Step 3: Cross multiply
    194,829x = 419,754 × 419,754
  4. Step 4: Simplify right side
    194,829x = 176,193,420,516
  5. Step 5: Solve for x
    x = 176,193,420,516/194,829
  6. Step 6: Final answer
    x = 904,349.05

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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.