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Finding the Third Proportional to 362,869 and 768,999

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Solution

The third proportional to 362,869 and 768,999 is: 1,629,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,869 : 768,999 = 768,999 : x
  2. Step 2: Convert to fraction form
    362,869/768,999 = 768,999/x
  3. Step 3: Cross multiply
    362,869x = 768,999 × 768,999
  4. Step 4: Simplify right side
    362,869x = 591,359,462,001
  5. Step 5: Solve for x
    x = 591,359,462,001/362,869
  6. Step 6: Final answer
    x = 1,629,677.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.