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Finding the Third Proportional to 397,002 and 863,982

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Solution

The third proportional to 397,002 and 863,982 is: 1,880,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,002 : 863,982 = 863,982 : x
  2. Step 2: Convert to fraction form
    397,002/863,982 = 863,982/x
  3. Step 3: Cross multiply
    397,002x = 863,982 × 863,982
  4. Step 4: Simplify right side
    397,002x = 746,464,896,324
  5. Step 5: Solve for x
    x = 746,464,896,324/397,002
  6. Step 6: Final answer
    x = 1,880,254.75

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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.