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Finding the Third Proportional to 303,993 and 659,907

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Solution

The third proportional to 303,993 and 659,907 is: 1,432,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,993 : 659,907 = 659,907 : x
  2. Step 2: Convert to fraction form
    303,993/659,907 = 659,907/x
  3. Step 3: Cross multiply
    303,993x = 659,907 × 659,907
  4. Step 4: Simplify right side
    303,993x = 435,477,248,649
  5. Step 5: Solve for x
    x = 435,477,248,649/303,993
  6. Step 6: Final answer
    x = 1,432,523.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.