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Finding the Third Proportional to 267,402 and 582,782

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Solution

The third proportional to 267,402 and 582,782 is: 1,270,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,402 : 582,782 = 582,782 : x
  2. Step 2: Convert to fraction form
    267,402/582,782 = 582,782/x
  3. Step 3: Cross multiply
    267,402x = 582,782 × 582,782
  4. Step 4: Simplify right side
    267,402x = 339,634,859,524
  5. Step 5: Solve for x
    x = 339,634,859,524/267,402
  6. Step 6: Final answer
    x = 1,270,128.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.