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Finding the Third Proportional to 394,457 and 863,999

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Solution

The third proportional to 394,457 and 863,999 is: 1,892,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,457 : 863,999 = 863,999 : x
  2. Step 2: Convert to fraction form
    394,457/863,999 = 863,999/x
  3. Step 3: Cross multiply
    394,457x = 863,999 × 863,999
  4. Step 4: Simplify right side
    394,457x = 746,494,272,001
  5. Step 5: Solve for x
    x = 746,494,272,001/394,457
  6. Step 6: Final answer
    x = 1,892,460.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.