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Finding the Third Proportional to 303,923 and 472,600

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Solution

The third proportional to 303,923 and 472,600 is: 734,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,923 : 472,600 = 472,600 : x
  2. Step 2: Convert to fraction form
    303,923/472,600 = 472,600/x
  3. Step 3: Cross multiply
    303,923x = 472,600 × 472,600
  4. Step 4: Simplify right side
    303,923x = 223,350,760,000
  5. Step 5: Solve for x
    x = 223,350,760,000/303,923
  6. Step 6: Final answer
    x = 734,892.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.