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Finding the Third Proportional to 416,856 and 848,443.50

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Solution

The third proportional to 416,856 and 848,443.50 is: 1,726,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,856 : 848,443.50 = 848,443.50 : x
  2. Step 2: Convert to fraction form
    416,856/848,443.50 = 848,443.50/x
  3. Step 3: Cross multiply
    416,856x = 848,443.50 × 848,443.50
  4. Step 4: Simplify right side
    416,856x = 719,856,372,692.25
  5. Step 5: Solve for x
    x = 719,856,372,692.25/416,856
  6. Step 6: Final answer
    x = 1,726,870.60

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.