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Finding the Third Proportional to 275,769 and 433,325

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Solution

The third proportional to 275,769 and 433,325 is: 680,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,769 : 433,325 = 433,325 : x
  2. Step 2: Convert to fraction form
    275,769/433,325 = 433,325/x
  3. Step 3: Cross multiply
    275,769x = 433,325 × 433,325
  4. Step 4: Simplify right side
    275,769x = 187,770,555,625
  5. Step 5: Solve for x
    x = 187,770,555,625/275,769
  6. Step 6: Final answer
    x = 680,897.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.