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Finding the Third Proportional to 267,725 and 582,106

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Solution

The third proportional to 267,725 and 582,106 is: 1,265,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,725 : 582,106 = 582,106 : x
  2. Step 2: Convert to fraction form
    267,725/582,106 = 582,106/x
  3. Step 3: Cross multiply
    267,725x = 582,106 × 582,106
  4. Step 4: Simplify right side
    267,725x = 338,847,395,236
  5. Step 5: Solve for x
    x = 338,847,395,236/267,725
  6. Step 6: Final answer
    x = 1,265,654.67

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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.