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Finding the Third Proportional to 194,424 and 404,367

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Solution

The third proportional to 194,424 and 404,367 is: 841,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424 : 404,367 = 404,367 : x
  2. Step 2: Convert to fraction form
    194,424/404,367 = 404,367/x
  3. Step 3: Cross multiply
    194,424x = 404,367 × 404,367
  4. Step 4: Simplify right side
    194,424x = 163,512,670,689
  5. Step 5: Solve for x
    x = 163,512,670,689/194,424
  6. Step 6: Final answer
    x = 841,010.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.