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Finding the Third Proportional to 267,462.75 and 582,904.13

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Solution

The third proportional to 267,462.75 and 582,904.13 is: 1,270,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,462.75 : 582,904.13 = 582,904.13 : x
  2. Step 2: Convert to fraction form
    267,462.75/582,904.13 = 582,904.13/x
  3. Step 3: Cross multiply
    267,462.75x = 582,904.13 × 582,904.13
  4. Step 4: Simplify right side
    267,462.75x = 339,777,218,942.02
  5. Step 5: Solve for x
    x = 339,777,218,942.02/267,462.75
  6. Step 6: Final answer
    x = 1,270,372.11

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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.