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Finding the Third Proportional to 396,508.50 and 565,237.50

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Solution

The third proportional to 396,508.50 and 565,237.50 is: 805,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,508.50 : 565,237.50 = 565,237.50 : x
  2. Step 2: Convert to fraction form
    396,508.50/565,237.50 = 565,237.50/x
  3. Step 3: Cross multiply
    396,508.50x = 565,237.50 × 565,237.50
  4. Step 4: Simplify right side
    396,508.50x = 319,493,431,406.25
  5. Step 5: Solve for x
    x = 319,493,431,406.25/396,508.50
  6. Step 6: Final answer
    x = 805,766.92

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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.