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Finding the Third Proportional to 275,290.50 and 362,796.75

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Solution

The third proportional to 275,290.50 and 362,796.75 is: 478,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,290.50 : 362,796.75 = 362,796.75 : x
  2. Step 2: Convert to fraction form
    275,290.50/362,796.75 = 362,796.75/x
  3. Step 3: Cross multiply
    275,290.50x = 362,796.75 × 362,796.75
  4. Step 4: Simplify right side
    275,290.50x = 131,621,481,810.56
  5. Step 5: Solve for x
    x = 131,621,481,810.56/275,290.50
  6. Step 6: Final answer
    x = 478,118.50

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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.