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Finding the Third Proportional to 339,774.75 and 475,279.88

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Solution

The third proportional to 339,774.75 and 475,279.88 is: 664,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774.75 : 475,279.88 = 475,279.88 : x
  2. Step 2: Convert to fraction form
    339,774.75/475,279.88 = 475,279.88/x
  3. Step 3: Cross multiply
    339,774.75x = 475,279.88 × 475,279.88
  4. Step 4: Simplify right side
    339,774.75x = 225,890,959,580.02
  5. Step 5: Solve for x
    x = 225,890,959,580.02/339,774.75
  6. Step 6: Final answer
    x = 664,825.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.