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Finding the Third Proportional to 300,286 and 467,649

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Solution

The third proportional to 300,286 and 467,649 is: 728,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,286 : 467,649 = 467,649 : x
  2. Step 2: Convert to fraction form
    300,286/467,649 = 467,649/x
  3. Step 3: Cross multiply
    300,286x = 467,649 × 467,649
  4. Step 4: Simplify right side
    300,286x = 218,695,587,201
  5. Step 5: Solve for x
    x = 218,695,587,201/300,286
  6. Step 6: Final answer
    x = 728,290.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.