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Finding the Third Proportional to 300,273.75 and 467,626.50

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Solution

The third proportional to 300,273.75 and 467,626.50 is: 728,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,273.75 : 467,626.50 = 467,626.50 : x
  2. Step 2: Convert to fraction form
    300,273.75/467,626.50 = 467,626.50/x
  3. Step 3: Cross multiply
    300,273.75x = 467,626.50 × 467,626.50
  4. Step 4: Simplify right side
    300,273.75x = 218,674,543,502.25
  5. Step 5: Solve for x
    x = 218,674,543,502.25/300,273.75
  6. Step 6: Final answer
    x = 728,250.62

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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.