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Finding the Third Proportional to 404,576.44 and 872,251.88

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Solution

The third proportional to 404,576.44 and 872,251.88 is: 1,880,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,576.44 : 872,251.88 = 872,251.88 : x
  2. Step 2: Convert to fraction form
    404,576.44/872,251.88 = 872,251.88/x
  3. Step 3: Cross multiply
    404,576.44x = 872,251.88 × 872,251.88
  4. Step 4: Simplify right side
    404,576.44x = 760,823,333,441.02
  5. Step 5: Solve for x
    x = 760,823,333,441.02/404,576.44
  6. Step 6: Final answer
    x = 1,880,542.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.