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Finding the Third Proportional to 275,203.50 and 423,132.75

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Solution

The third proportional to 275,203.50 and 423,132.75 is: 650,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,203.50 : 423,132.75 = 423,132.75 : x
  2. Step 2: Convert to fraction form
    275,203.50/423,132.75 = 423,132.75/x
  3. Step 3: Cross multiply
    275,203.50x = 423,132.75 × 423,132.75
  4. Step 4: Simplify right side
    275,203.50x = 179,041,324,122.56
  5. Step 5: Solve for x
    x = 179,041,324,122.56/275,203.50
  6. Step 6: Final answer
    x = 650,577.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.