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Finding the Third Proportional to 228,847.50 and 498,378.75

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Solution

The third proportional to 228,847.50 and 498,378.75 is: 1,085,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,847.50 : 498,378.75 = 498,378.75 : x
  2. Step 2: Convert to fraction form
    228,847.50/498,378.75 = 498,378.75/x
  3. Step 3: Cross multiply
    228,847.50x = 498,378.75 × 498,378.75
  4. Step 4: Simplify right side
    228,847.50x = 248,381,378,451.56
  5. Step 5: Solve for x
    x = 248,381,378,451.56/228,847.50
  6. Step 6: Final answer
    x = 1,085,357.62

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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.