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Finding the Third Proportional to 422,108 and 603,573

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Solution

The third proportional to 422,108 and 603,573 is: 863,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,108 : 603,573 = 603,573 : x
  2. Step 2: Convert to fraction form
    422,108/603,573 = 603,573/x
  3. Step 3: Cross multiply
    422,108x = 603,573 × 603,573
  4. Step 4: Simplify right side
    422,108x = 364,300,366,329
  5. Step 5: Solve for x
    x = 364,300,366,329/422,108
  6. Step 6: Final answer
    x = 863,050.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.