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Finding the Third Proportional to 267,676 and 594,400

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Solution

The third proportional to 267,676 and 594,400 is: 1,319,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,676 : 594,400 = 594,400 : x
  2. Step 2: Convert to fraction form
    267,676/594,400 = 594,400/x
  3. Step 3: Cross multiply
    267,676x = 594,400 × 594,400
  4. Step 4: Simplify right side
    267,676x = 353,311,360,000
  5. Step 5: Solve for x
    x = 353,311,360,000/267,676
  6. Step 6: Final answer
    x = 1,319,921.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.