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Finding the Third Proportional to 304,002 and 677,907

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Solution

The third proportional to 304,002 and 677,907 is: 1,511,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,002 : 677,907 = 677,907 : x
  2. Step 2: Convert to fraction form
    304,002/677,907 = 677,907/x
  3. Step 3: Cross multiply
    304,002x = 677,907 × 677,907
  4. Step 4: Simplify right side
    304,002x = 459,557,900,649
  5. Step 5: Solve for x
    x = 459,557,900,649/304,002
  6. Step 6: Final answer
    x = 1,511,693.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.