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Finding the Third Proportional to 416,704.50 and 898,249.50

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Solution

The third proportional to 416,704.50 and 898,249.50 is: 1,936,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,704.50 : 898,249.50 = 898,249.50 : x
  2. Step 2: Convert to fraction form
    416,704.50/898,249.50 = 898,249.50/x
  3. Step 3: Cross multiply
    416,704.50x = 898,249.50 × 898,249.50
  4. Step 4: Simplify right side
    416,704.50x = 806,852,164,250.25
  5. Step 5: Solve for x
    x = 806,852,164,250.25/416,704.50
  6. Step 6: Final answer
    x = 1,936,269.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.