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Finding the Third Proportional to 395,923.50 and 863,293.50

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Solution

The third proportional to 395,923.50 and 863,293.50 is: 1,882,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,923.50 : 863,293.50 = 863,293.50 : x
  2. Step 2: Convert to fraction form
    395,923.50/863,293.50 = 863,293.50/x
  3. Step 3: Cross multiply
    395,923.50x = 863,293.50 × 863,293.50
  4. Step 4: Simplify right side
    395,923.50x = 745,275,667,142.25
  5. Step 5: Solve for x
    x = 745,275,667,142.25/395,923.50
  6. Step 6: Final answer
    x = 1,882,372.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.