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Finding the Third Proportional to 322,890 and 443,241

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Solution

The third proportional to 322,890 and 443,241 is: 608,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,890 : 443,241 = 443,241 : x
  2. Step 2: Convert to fraction form
    322,890/443,241 = 443,241/x
  3. Step 3: Cross multiply
    322,890x = 443,241 × 443,241
  4. Step 4: Simplify right side
    322,890x = 196,462,584,081
  5. Step 5: Solve for x
    x = 196,462,584,081/322,890
  6. Step 6: Final answer
    x = 608,450.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.