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Finding the Third Proportional to 279,880 and 603,984

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Solution

The third proportional to 279,880 and 603,984 is: 1,303,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,880 : 603,984 = 603,984 : x
  2. Step 2: Convert to fraction form
    279,880/603,984 = 603,984/x
  3. Step 3: Cross multiply
    279,880x = 603,984 × 603,984
  4. Step 4: Simplify right side
    279,880x = 364,796,672,256
  5. Step 5: Solve for x
    x = 364,796,672,256/279,880
  6. Step 6: Final answer
    x = 1,303,403.86

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Why These Related Problems?

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