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Finding the Third Proportional to 416,692 and 898,280

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Solution

The third proportional to 416,692 and 898,280 is: 1,936,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,692 : 898,280 = 898,280 : x
  2. Step 2: Convert to fraction form
    416,692/898,280 = 898,280/x
  3. Step 3: Cross multiply
    416,692x = 898,280 × 898,280
  4. Step 4: Simplify right side
    416,692x = 806,906,958,400
  5. Step 5: Solve for x
    x = 806,906,958,400/416,692
  6. Step 6: Final answer
    x = 1,936,458.96

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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.