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Finding the Third Proportional to 369,474.25 and 794,201.50

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Solution

The third proportional to 369,474.25 and 794,201.50 is: 1,707,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,474.25 : 794,201.50 = 794,201.50 : x
  2. Step 2: Convert to fraction form
    369,474.25/794,201.50 = 794,201.50/x
  3. Step 3: Cross multiply
    369,474.25x = 794,201.50 × 794,201.50
  4. Step 4: Simplify right side
    369,474.25x = 630,756,022,602.25
  5. Step 5: Solve for x
    x = 630,756,022,602.25/369,474.25
  6. Step 6: Final answer
    x = 1,707,171.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.