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Finding the Third Proportional to 194,644 and 419,672

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Solution

The third proportional to 194,644 and 419,672 is: 904,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,644 : 419,672 = 419,672 : x
  2. Step 2: Convert to fraction form
    194,644/419,672 = 419,672/x
  3. Step 3: Cross multiply
    194,644x = 419,672 × 419,672
  4. Step 4: Simplify right side
    194,644x = 176,124,587,584
  5. Step 5: Solve for x
    x = 176,124,587,584/194,644
  6. Step 6: Final answer
    x = 904,854.95

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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.