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Finding the Third Proportional to 304,012 and 677,928

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Solution

The third proportional to 304,012 and 677,928 is: 1,511,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,012 : 677,928 = 677,928 : x
  2. Step 2: Convert to fraction form
    304,012/677,928 = 677,928/x
  3. Step 3: Cross multiply
    304,012x = 677,928 × 677,928
  4. Step 4: Simplify right side
    304,012x = 459,586,373,184
  5. Step 5: Solve for x
    x = 459,586,373,184/304,012
  6. Step 6: Final answer
    x = 1,511,737.61

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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.