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Finding the Third Proportional to 300,395.25 and 450,651.75

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Solution

The third proportional to 300,395.25 and 450,651.75 is: 676,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,395.25 : 450,651.75 = 450,651.75 : x
  2. Step 2: Convert to fraction form
    300,395.25/450,651.75 = 450,651.75/x
  3. Step 3: Cross multiply
    300,395.25x = 450,651.75 × 450,651.75
  4. Step 4: Simplify right side
    300,395.25x = 203,086,999,778.06
  5. Step 5: Solve for x
    x = 203,086,999,778.06/300,395.25
  6. Step 6: Final answer
    x = 676,065.95

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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.