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Finding the Third Proportional to 305,914 and 430,027

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Solution

The third proportional to 305,914 and 430,027 is: 604,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914 : 430,027 = 430,027 : x
  2. Step 2: Convert to fraction form
    305,914/430,027 = 430,027/x
  3. Step 3: Cross multiply
    305,914x = 430,027 × 430,027
  4. Step 4: Simplify right side
    305,914x = 184,923,220,729
  5. Step 5: Solve for x
    x = 184,923,220,729/305,914
  6. Step 6: Final answer
    x = 604,494.14

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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.