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Finding the Third Proportional to 404,049.25 and 883,823.50

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Solution

The third proportional to 404,049.25 and 883,823.50 is: 1,933,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,049.25 : 883,823.50 = 883,823.50 : x
  2. Step 2: Convert to fraction form
    404,049.25/883,823.50 = 883,823.50/x
  3. Step 3: Cross multiply
    404,049.25x = 883,823.50 × 883,823.50
  4. Step 4: Simplify right side
    404,049.25x = 781,143,979,152.25
  5. Step 5: Solve for x
    x = 781,143,979,152.25/404,049.25
  6. Step 6: Final answer
    x = 1,933,289.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.