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Finding the Third Proportional to 677,820.75 and 979,413.75

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Solution

The third proportional to 677,820.75 and 979,413.75 is: 1,415,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,820.75 : 979,413.75 = 979,413.75 : x
  2. Step 2: Convert to fraction form
    677,820.75/979,413.75 = 979,413.75/x
  3. Step 3: Cross multiply
    677,820.75x = 979,413.75 × 979,413.75
  4. Step 4: Simplify right side
    677,820.75x = 959,251,293,689.06
  5. Step 5: Solve for x
    x = 959,251,293,689.06/677,820.75
  6. Step 6: Final answer
    x = 1,415,199.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.