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Finding the Third Proportional to 397,010 and 863,998

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Solution

The third proportional to 397,010 and 863,998 is: 1,880,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,010 : 863,998 = 863,998 : x
  2. Step 2: Convert to fraction form
    397,010/863,998 = 863,998/x
  3. Step 3: Cross multiply
    397,010x = 863,998 × 863,998
  4. Step 4: Simplify right side
    397,010x = 746,492,544,004
  5. Step 5: Solve for x
    x = 746,492,544,004/397,010
  6. Step 6: Final answer
    x = 1,880,286.50

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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.