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Finding the Third Proportional to 598,869 and 874,939.50

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Solution

The third proportional to 598,869 and 874,939.50 is: 1,278,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,869 : 874,939.50 = 874,939.50 : x
  2. Step 2: Convert to fraction form
    598,869/874,939.50 = 874,939.50/x
  3. Step 3: Cross multiply
    598,869x = 874,939.50 × 874,939.50
  4. Step 4: Simplify right side
    598,869x = 765,519,128,660.25
  5. Step 5: Solve for x
    x = 765,519,128,660.25/598,869
  6. Step 6: Final answer
    x = 1,278,274.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.