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Finding the Third Proportional to 416,336 and 982,493

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Solution

The third proportional to 416,336 and 982,493 is: 2,318,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,336 : 982,493 = 982,493 : x
  2. Step 2: Convert to fraction form
    416,336/982,493 = 982,493/x
  3. Step 3: Cross multiply
    416,336x = 982,493 × 982,493
  4. Step 4: Simplify right side
    416,336x = 965,292,495,049
  5. Step 5: Solve for x
    x = 965,292,495,049/416,336
  6. Step 6: Final answer
    x = 2,318,541.98

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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.