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Finding the Third Proportional to 267,712 and 582,064

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Solution

The third proportional to 267,712 and 582,064 is: 1,265,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,712 : 582,064 = 582,064 : x
  2. Step 2: Convert to fraction form
    267,712/582,064 = 582,064/x
  3. Step 3: Cross multiply
    267,712x = 582,064 × 582,064
  4. Step 4: Simplify right side
    267,712x = 338,798,500,096
  5. Step 5: Solve for x
    x = 338,798,500,096/267,712
  6. Step 6: Final answer
    x = 1,265,533.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.