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Finding the Third Proportional to 416,336 and 982,491

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Solution

The third proportional to 416,336 and 982,491 is: 2,318,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,336 : 982,491 = 982,491 : x
  2. Step 2: Convert to fraction form
    416,336/982,491 = 982,491/x
  3. Step 3: Cross multiply
    416,336x = 982,491 × 982,491
  4. Step 4: Simplify right side
    416,336x = 965,288,565,081
  5. Step 5: Solve for x
    x = 965,288,565,081/416,336
  6. Step 6: Final answer
    x = 2,318,532.54

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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.