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Finding the Third Proportional to 394,266 and 603,225

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Solution

The third proportional to 394,266 and 603,225 is: 922,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,266 : 603,225 = 603,225 : x
  2. Step 2: Convert to fraction form
    394,266/603,225 = 603,225/x
  3. Step 3: Cross multiply
    394,266x = 603,225 × 603,225
  4. Step 4: Simplify right side
    394,266x = 363,880,400,625
  5. Step 5: Solve for x
    x = 363,880,400,625/394,266
  6. Step 6: Final answer
    x = 922,931.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.