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Finding the Third Proportional to 300,091.50 and 453,350.25

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Solution

The third proportional to 300,091.50 and 453,350.25 is: 684,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,091.50 : 453,350.25 = 453,350.25 : x
  2. Step 2: Convert to fraction form
    300,091.50/453,350.25 = 453,350.25/x
  3. Step 3: Cross multiply
    300,091.50x = 453,350.25 × 453,350.25
  4. Step 4: Simplify right side
    300,091.50x = 205,526,449,175.06
  5. Step 5: Solve for x
    x = 205,526,449,175.06/300,091.50
  6. Step 6: Final answer
    x = 684,879.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.