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Finding the Third Proportional to 275,286.75 and 362,790.75

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Solution

The third proportional to 275,286.75 and 362,790.75 is: 478,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,286.75 : 362,790.75 = 362,790.75 : x
  2. Step 2: Convert to fraction form
    275,286.75/362,790.75 = 362,790.75/x
  3. Step 3: Cross multiply
    275,286.75x = 362,790.75 × 362,790.75
  4. Step 4: Simplify right side
    275,286.75x = 131,617,128,285.56
  5. Step 5: Solve for x
    x = 131,617,128,285.56/275,286.75
  6. Step 6: Final answer
    x = 478,109.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.