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Finding the Third Proportional to 396,785 and 567,176.50

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Solution

The third proportional to 396,785 and 567,176.50 is: 810,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,785 : 567,176.50 = 567,176.50 : x
  2. Step 2: Convert to fraction form
    396,785/567,176.50 = 567,176.50/x
  3. Step 3: Cross multiply
    396,785x = 567,176.50 × 567,176.50
  4. Step 4: Simplify right side
    396,785x = 321,689,182,152.25
  5. Step 5: Solve for x
    x = 321,689,182,152.25/396,785
  6. Step 6: Final answer
    x = 810,739.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.