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Finding the Third Proportional to 300,815.44 and 668,873.53

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Solution

The third proportional to 300,815.44 and 668,873.53 is: 1,487,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,815.44 : 668,873.53 = 668,873.53 : x
  2. Step 2: Convert to fraction form
    300,815.44/668,873.53 = 668,873.53/x
  3. Step 3: Cross multiply
    300,815.44x = 668,873.53 × 668,873.53
  4. Step 4: Simplify right side
    300,815.44x = 447,391,800,806.85
  5. Step 5: Solve for x
    x = 447,391,800,806.85/300,815.44
  6. Step 6: Final answer
    x = 1,487,263.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.