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Finding the Third Proportional to 396,638.25 and 578,342.25

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Solution

The third proportional to 396,638.25 and 578,342.25 is: 843,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,638.25 : 578,342.25 = 578,342.25 : x
  2. Step 2: Convert to fraction form
    396,638.25/578,342.25 = 578,342.25/x
  3. Step 3: Cross multiply
    396,638.25x = 578,342.25 × 578,342.25
  4. Step 4: Simplify right side
    396,638.25x = 334,479,758,135.06
  5. Step 5: Solve for x
    x = 334,479,758,135.06/396,638.25
  6. Step 6: Final answer
    x = 843,286.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.