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Finding the Third Proportional to 215,824.50 and 504,103.50

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Solution

The third proportional to 215,824.50 and 504,103.50 is: 1,177,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824.50 : 504,103.50 = 504,103.50 : x
  2. Step 2: Convert to fraction form
    215,824.50/504,103.50 = 504,103.50/x
  3. Step 3: Cross multiply
    215,824.50x = 504,103.50 × 504,103.50
  4. Step 4: Simplify right side
    215,824.50x = 254,120,338,712.25
  5. Step 5: Solve for x
    x = 254,120,338,712.25/215,824.50
  6. Step 6: Final answer
    x = 1,177,439.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.