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Finding the Third Proportional to 275,055.75 and 420,756.19

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Solution

The third proportional to 275,055.75 and 420,756.19 is: 643,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,055.75 : 420,756.19 = 420,756.19 : x
  2. Step 2: Convert to fraction form
    275,055.75/420,756.19 = 420,756.19/x
  3. Step 3: Cross multiply
    275,055.75x = 420,756.19 × 420,756.19
  4. Step 4: Simplify right side
    275,055.75x = 177,035,769,319.54
  5. Step 5: Solve for x
    x = 177,035,769,319.54/275,055.75
  6. Step 6: Final answer
    x = 643,635.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.