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Finding the Third Proportional to 196,512 and 416,424

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Solution

The third proportional to 196,512 and 416,424 is: 882,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512 : 416,424 = 416,424 : x
  2. Step 2: Convert to fraction form
    196,512/416,424 = 416,424/x
  3. Step 3: Cross multiply
    196,512x = 416,424 × 416,424
  4. Step 4: Simplify right side
    196,512x = 173,408,947,776
  5. Step 5: Solve for x
    x = 173,408,947,776/196,512
  6. Step 6: Final answer
    x = 882,434.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.