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Finding the Third Proportional to 396,720 and 595,959.75

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Solution

The third proportional to 396,720 and 595,959.75 is: 895,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,720 : 595,959.75 = 595,959.75 : x
  2. Step 2: Convert to fraction form
    396,720/595,959.75 = 595,959.75/x
  3. Step 3: Cross multiply
    396,720x = 595,959.75 × 595,959.75
  4. Step 4: Simplify right side
    396,720x = 355,168,023,620.06
  5. Step 5: Solve for x
    x = 355,168,023,620.06/396,720
  6. Step 6: Final answer
    x = 895,261.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.