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Finding the Third Proportional to 361,238 and 793,980.50

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Solution

The third proportional to 361,238 and 793,980.50 is: 1,745,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,238 : 793,980.50 = 793,980.50 : x
  2. Step 2: Convert to fraction form
    361,238/793,980.50 = 793,980.50/x
  3. Step 3: Cross multiply
    361,238x = 793,980.50 × 793,980.50
  4. Step 4: Simplify right side
    361,238x = 630,405,034,380.25
  5. Step 5: Solve for x
    x = 630,405,034,380.25/361,238
  6. Step 6: Final answer
    x = 1,745,123.81

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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.