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Finding the Third Proportional to 222,601.50 and 495,037.50

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Solution

The third proportional to 222,601.50 and 495,037.50 is: 1,100,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,601.50 : 495,037.50 = 495,037.50 : x
  2. Step 2: Convert to fraction form
    222,601.50/495,037.50 = 495,037.50/x
  3. Step 3: Cross multiply
    222,601.50x = 495,037.50 × 495,037.50
  4. Step 4: Simplify right side
    222,601.50x = 245,062,126,406.25
  5. Step 5: Solve for x
    x = 245,062,126,406.25/222,601.50
  6. Step 6: Final answer
    x = 1,100,900.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.