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Finding the Third Proportional to 267,340 and 574,856

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Solution

The third proportional to 267,340 and 574,856 is: 1,236,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,340 : 574,856 = 574,856 : x
  2. Step 2: Convert to fraction form
    267,340/574,856 = 574,856/x
  3. Step 3: Cross multiply
    267,340x = 574,856 × 574,856
  4. Step 4: Simplify right side
    267,340x = 330,459,420,736
  5. Step 5: Solve for x
    x = 330,459,420,736/267,340
  6. Step 6: Final answer
    x = 1,236,101.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.