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Finding the Third Proportional to 304,010 and 677,924

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Solution

The third proportional to 304,010 and 677,924 is: 1,511,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,010 : 677,924 = 677,924 : x
  2. Step 2: Convert to fraction form
    304,010/677,924 = 677,924/x
  3. Step 3: Cross multiply
    304,010x = 677,924 × 677,924
  4. Step 4: Simplify right side
    304,010x = 459,580,949,776
  5. Step 5: Solve for x
    x = 459,580,949,776/304,010
  6. Step 6: Final answer
    x = 1,511,729.71

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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.