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Finding the Third Proportional to 361,262.25 and 794,034

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Solution

The third proportional to 361,262.25 and 794,034 is: 1,745,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,262.25 : 794,034 = 794,034 : x
  2. Step 2: Convert to fraction form
    361,262.25/794,034 = 794,034/x
  3. Step 3: Cross multiply
    361,262.25x = 794,034 × 794,034
  4. Step 4: Simplify right side
    361,262.25x = 630,489,993,156
  5. Step 5: Solve for x
    x = 630,489,993,156/361,262.25
  6. Step 6: Final answer
    x = 1,745,241.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.