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Finding the Third Proportional to 375,900.75 and 809,969.63

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Solution

The third proportional to 375,900.75 and 809,969.63 is: 1,745,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,900.75 : 809,969.63 = 809,969.63 : x
  2. Step 2: Convert to fraction form
    375,900.75/809,969.63 = 809,969.63/x
  3. Step 3: Cross multiply
    375,900.75x = 809,969.63 × 809,969.63
  4. Step 4: Simplify right side
    375,900.75x = 656,050,793,422.64
  5. Step 5: Solve for x
    x = 656,050,793,422.64/375,900.75
  6. Step 6: Final answer
    x = 1,745,276.63

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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.