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Finding the Third Proportional to 300,918.50 and 467,446

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Solution

The third proportional to 300,918.50 and 467,446 is: 726,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,918.50 : 467,446 = 467,446 : x
  2. Step 2: Convert to fraction form
    300,918.50/467,446 = 467,446/x
  3. Step 3: Cross multiply
    300,918.50x = 467,446 × 467,446
  4. Step 4: Simplify right side
    300,918.50x = 218,505,762,916
  5. Step 5: Solve for x
    x = 218,505,762,916/300,918.50
  6. Step 6: Final answer
    x = 726,129.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.