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Finding the Third Proportional to 267,104 and 544,102

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Solution

The third proportional to 267,104 and 544,102 is: 1,108,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,104 : 544,102 = 544,102 : x
  2. Step 2: Convert to fraction form
    267,104/544,102 = 544,102/x
  3. Step 3: Cross multiply
    267,104x = 544,102 × 544,102
  4. Step 4: Simplify right side
    267,104x = 296,046,986,404
  5. Step 5: Solve for x
    x = 296,046,986,404/267,104
  6. Step 6: Final answer
    x = 1,108,358.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.