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Finding the Third Proportional to 306,839 and 656,325

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Solution

The third proportional to 306,839 and 656,325 is: 1,403,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,839 : 656,325 = 656,325 : x
  2. Step 2: Convert to fraction form
    306,839/656,325 = 656,325/x
  3. Step 3: Cross multiply
    306,839x = 656,325 × 656,325
  4. Step 4: Simplify right side
    306,839x = 430,762,505,625
  5. Step 5: Solve for x
    x = 430,762,505,625/306,839
  6. Step 6: Final answer
    x = 1,403,871.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.