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Finding the Third Proportional to 267,731 and 582,117

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Solution

The third proportional to 267,731 and 582,117 is: 1,265,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,731 : 582,117 = 582,117 : x
  2. Step 2: Convert to fraction form
    267,731/582,117 = 582,117/x
  3. Step 3: Cross multiply
    267,731x = 582,117 × 582,117
  4. Step 4: Simplify right side
    267,731x = 338,860,201,689
  5. Step 5: Solve for x
    x = 338,860,201,689/267,731
  6. Step 6: Final answer
    x = 1,265,674.13

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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.