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Finding the Third Proportional to 305,961 and 430,098

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Solution

The third proportional to 305,961 and 430,098 is: 604,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,961 : 430,098 = 430,098 : x
  2. Step 2: Convert to fraction form
    305,961/430,098 = 430,098/x
  3. Step 3: Cross multiply
    305,961x = 430,098 × 430,098
  4. Step 4: Simplify right side
    305,961x = 184,984,289,604
  5. Step 5: Solve for x
    x = 184,984,289,604/305,961
  6. Step 6: Final answer
    x = 604,600.88

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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.