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Finding the Third Proportional to 204,437.25 and 477,528.75

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Solution

The third proportional to 204,437.25 and 477,528.75 is: 1,115,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,437.25 : 477,528.75 = 477,528.75 : x
  2. Step 2: Convert to fraction form
    204,437.25/477,528.75 = 477,528.75/x
  3. Step 3: Cross multiply
    204,437.25x = 477,528.75 × 477,528.75
  4. Step 4: Simplify right side
    204,437.25x = 228,033,707,076.56
  5. Step 5: Solve for x
    x = 228,033,707,076.56/204,437.25
  6. Step 6: Final answer
    x = 1,115,421.51

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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.