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Finding the Third Proportional to 337,154 and 474,266

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Solution

The third proportional to 337,154 and 474,266 is: 667,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,154 : 474,266 = 474,266 : x
  2. Step 2: Convert to fraction form
    337,154/474,266 = 474,266/x
  3. Step 3: Cross multiply
    337,154x = 474,266 × 474,266
  4. Step 4: Simplify right side
    337,154x = 224,928,238,756
  5. Step 5: Solve for x
    x = 224,928,238,756/337,154
  6. Step 6: Final answer
    x = 667,137.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.