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Finding the Third Proportional to 267,254 and 410,962

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Solution

The third proportional to 267,254 and 410,962 is: 631,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,254 : 410,962 = 410,962 : x
  2. Step 2: Convert to fraction form
    267,254/410,962 = 410,962/x
  3. Step 3: Cross multiply
    267,254x = 410,962 × 410,962
  4. Step 4: Simplify right side
    267,254x = 168,889,765,444
  5. Step 5: Solve for x
    x = 168,889,765,444/267,254
  6. Step 6: Final answer
    x = 631,944.76

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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.