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Finding the Third Proportional to 305,957 and 430,093.75

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Solution

The third proportional to 305,957 and 430,093.75 is: 604,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957 : 430,093.75 = 430,093.75 : x
  2. Step 2: Convert to fraction form
    305,957/430,093.75 = 430,093.75/x
  3. Step 3: Cross multiply
    305,957x = 430,093.75 × 430,093.75
  4. Step 4: Simplify right side
    305,957x = 184,980,633,789.06
  5. Step 5: Solve for x
    x = 184,980,633,789.06/305,957
  6. Step 6: Final answer
    x = 604,596.83

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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.