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Finding the Third Proportional to 416,280 and 982,356

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Solution

The third proportional to 416,280 and 982,356 is: 2,318,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,280 : 982,356 = 982,356 : x
  2. Step 2: Convert to fraction form
    416,280/982,356 = 982,356/x
  3. Step 3: Cross multiply
    416,280x = 982,356 × 982,356
  4. Step 4: Simplify right side
    416,280x = 965,023,310,736
  5. Step 5: Solve for x
    x = 965,023,310,736/416,280
  6. Step 6: Final answer
    x = 2,318,207.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.