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Finding the Third Proportional to 396,652.50 and 595,842.75

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Solution

The third proportional to 396,652.50 and 595,842.75 is: 895,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,652.50 : 595,842.75 = 595,842.75 : x
  2. Step 2: Convert to fraction form
    396,652.50/595,842.75 = 595,842.75/x
  3. Step 3: Cross multiply
    396,652.50x = 595,842.75 × 595,842.75
  4. Step 4: Simplify right side
    396,652.50x = 355,028,582,727.56
  5. Step 5: Solve for x
    x = 355,028,582,727.56/396,652.50
  6. Step 6: Final answer
    x = 895,062.01

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Why These Related Problems?

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