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Finding the Third Proportional to 308,529 and 462,793.50

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Solution

The third proportional to 308,529 and 462,793.50 is: 694,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,529 : 462,793.50 = 462,793.50 : x
  2. Step 2: Convert to fraction form
    308,529/462,793.50 = 462,793.50/x
  3. Step 3: Cross multiply
    308,529x = 462,793.50 × 462,793.50
  4. Step 4: Simplify right side
    308,529x = 214,177,823,642.25
  5. Step 5: Solve for x
    x = 214,177,823,642.25/308,529
  6. Step 6: Final answer
    x = 694,190.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.