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Finding the Third Proportional to 394,454 and 863,996

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Solution

The third proportional to 394,454 and 863,996 is: 1,892,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,454 : 863,996 = 863,996 : x
  2. Step 2: Convert to fraction form
    394,454/863,996 = 863,996/x
  3. Step 3: Cross multiply
    394,454x = 863,996 × 863,996
  4. Step 4: Simplify right side
    394,454x = 746,489,088,016
  5. Step 5: Solve for x
    x = 746,489,088,016/394,454
  6. Step 6: Final answer
    x = 1,892,461.70

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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.