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Finding the Third Proportional to 196,335 and 407,241

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Solution

The third proportional to 196,335 and 407,241 is: 844,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,335 : 407,241 = 407,241 : x
  2. Step 2: Convert to fraction form
    196,335/407,241 = 407,241/x
  3. Step 3: Cross multiply
    196,335x = 407,241 × 407,241
  4. Step 4: Simplify right side
    196,335x = 165,845,232,081
  5. Step 5: Solve for x
    x = 165,845,232,081/196,335
  6. Step 6: Final answer
    x = 844,705.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.