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Finding the Third Proportional to 369,927 and 806,286

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Solution

The third proportional to 369,927 and 806,286 is: 1,757,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,927 : 806,286 = 806,286 : x
  2. Step 2: Convert to fraction form
    369,927/806,286 = 806,286/x
  3. Step 3: Cross multiply
    369,927x = 806,286 × 806,286
  4. Step 4: Simplify right side
    369,927x = 650,097,113,796
  5. Step 5: Solve for x
    x = 650,097,113,796/369,927
  6. Step 6: Final answer
    x = 1,757,365.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.