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Finding the Third Proportional to 279,857 and 603,940

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Solution

The third proportional to 279,857 and 603,940 is: 1,303,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,857 : 603,940 = 603,940 : x
  2. Step 2: Convert to fraction form
    279,857/603,940 = 603,940/x
  3. Step 3: Cross multiply
    279,857x = 603,940 × 603,940
  4. Step 4: Simplify right side
    279,857x = 364,743,523,600
  5. Step 5: Solve for x
    x = 364,743,523,600/279,857
  6. Step 6: Final answer
    x = 1,303,321.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.