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Finding the Third Proportional to 253,725.38 and 528,441.56

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Solution

The third proportional to 253,725.38 and 528,441.56 is: 1,100,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,725.38 : 528,441.56 = 528,441.56 : x
  2. Step 2: Convert to fraction form
    253,725.38/528,441.56 = 528,441.56/x
  3. Step 3: Cross multiply
    253,725.38x = 528,441.56 × 528,441.56
  4. Step 4: Simplify right side
    253,725.38x = 279,250,484,977.44
  5. Step 5: Solve for x
    x = 279,250,484,977.44/253,725.38
  6. Step 6: Final answer
    x = 1,100,601.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.