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Finding the Third Proportional to 267,275 and 399,603

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Solution

The third proportional to 267,275 and 399,603 is: 597,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,275 : 399,603 = 399,603 : x
  2. Step 2: Convert to fraction form
    267,275/399,603 = 399,603/x
  3. Step 3: Cross multiply
    267,275x = 399,603 × 399,603
  4. Step 4: Simplify right side
    267,275x = 159,682,557,609
  5. Step 5: Solve for x
    x = 159,682,557,609/267,275
  6. Step 6: Final answer
    x = 597,446.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.