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Finding the Third Proportional to 419,782.50 and 905,904

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Solution

The third proportional to 419,782.50 and 905,904 is: 1,954,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,782.50 : 905,904 = 905,904 : x
  2. Step 2: Convert to fraction form
    419,782.50/905,904 = 905,904/x
  3. Step 3: Cross multiply
    419,782.50x = 905,904 × 905,904
  4. Step 4: Simplify right side
    419,782.50x = 820,662,057,216
  5. Step 5: Solve for x
    x = 820,662,057,216/419,782.50
  6. Step 6: Final answer
    x = 1,954,969.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.