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Finding the Third Proportional to 280,204 and 601,880

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Solution

The third proportional to 280,204 and 601,880 is: 1,292,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204 : 601,880 = 601,880 : x
  2. Step 2: Convert to fraction form
    280,204/601,880 = 601,880/x
  3. Step 3: Cross multiply
    280,204x = 601,880 × 601,880
  4. Step 4: Simplify right side
    280,204x = 362,259,534,400
  5. Step 5: Solve for x
    x = 362,259,534,400/280,204
  6. Step 6: Final answer
    x = 1,292,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.