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Finding the Third Proportional to 194,645 and 419,674

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Solution

The third proportional to 194,645 and 419,674 is: 904,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,645 : 419,674 = 419,674 : x
  2. Step 2: Convert to fraction form
    194,645/419,674 = 419,674/x
  3. Step 3: Cross multiply
    194,645x = 419,674 × 419,674
  4. Step 4: Simplify right side
    194,645x = 176,126,266,276
  5. Step 5: Solve for x
    x = 176,126,266,276/194,645
  6. Step 6: Final answer
    x = 904,858.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.