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Finding the Third Proportional to 215,824.50 and 474,477.75

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Solution

The third proportional to 215,824.50 and 474,477.75 is: 1,043,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824.50 : 474,477.75 = 474,477.75 : x
  2. Step 2: Convert to fraction form
    215,824.50/474,477.75 = 474,477.75/x
  3. Step 3: Cross multiply
    215,824.50x = 474,477.75 × 474,477.75
  4. Step 4: Simplify right side
    215,824.50x = 225,129,135,245.06
  5. Step 5: Solve for x
    x = 225,129,135,245.06/215,824.50
  6. Step 6: Final answer
    x = 1,043,112.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.