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Finding the Third Proportional to 267,120 and 410,760

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Solution

The third proportional to 267,120 and 410,760 is: 631,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,120 : 410,760 = 410,760 : x
  2. Step 2: Convert to fraction form
    267,120/410,760 = 410,760/x
  3. Step 3: Cross multiply
    267,120x = 410,760 × 410,760
  4. Step 4: Simplify right side
    267,120x = 168,723,777,600
  5. Step 5: Solve for x
    x = 168,723,777,600/267,120
  6. Step 6: Final answer
    x = 631,640.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.