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Finding the Third Proportional to 267,762 and 414,606

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Solution

The third proportional to 267,762 and 414,606 is: 641,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,762 : 414,606 = 414,606 : x
  2. Step 2: Convert to fraction form
    267,762/414,606 = 414,606/x
  3. Step 3: Cross multiply
    267,762x = 414,606 × 414,606
  4. Step 4: Simplify right side
    267,762x = 171,898,135,236
  5. Step 5: Solve for x
    x = 171,898,135,236/267,762
  6. Step 6: Final answer
    x = 641,981.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.