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Finding the Third Proportional to 305,923 and 430,039

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Solution

The third proportional to 305,923 and 430,039 is: 604,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,923 : 430,039 = 430,039 : x
  2. Step 2: Convert to fraction form
    305,923/430,039 = 430,039/x
  3. Step 3: Cross multiply
    305,923x = 430,039 × 430,039
  4. Step 4: Simplify right side
    305,923x = 184,933,541,521
  5. Step 5: Solve for x
    x = 184,933,541,521/305,923
  6. Step 6: Final answer
    x = 604,510.09

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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.