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Finding the Third Proportional to 300,462 and 467,919

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Solution

The third proportional to 300,462 and 467,919 is: 728,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,462 : 467,919 = 467,919 : x
  2. Step 2: Convert to fraction form
    300,462/467,919 = 467,919/x
  3. Step 3: Cross multiply
    300,462x = 467,919 × 467,919
  4. Step 4: Simplify right side
    300,462x = 218,948,190,561
  5. Step 5: Solve for x
    x = 218,948,190,561/300,462
  6. Step 6: Final answer
    x = 728,705.10

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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.