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Finding the Third Proportional to 366,362 and 787,966

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Solution

The third proportional to 366,362 and 787,966 is: 1,694,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,362 : 787,966 = 787,966 : x
  2. Step 2: Convert to fraction form
    366,362/787,966 = 787,966/x
  3. Step 3: Cross multiply
    366,362x = 787,966 × 787,966
  4. Step 4: Simplify right side
    366,362x = 620,890,417,156
  5. Step 5: Solve for x
    x = 620,890,417,156/366,362
  6. Step 6: Final answer
    x = 1,694,745.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.