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Finding the Third Proportional to 254,209.50 and 547,821

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Solution

The third proportional to 254,209.50 and 547,821 is: 1,180,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,209.50 : 547,821 = 547,821 : x
  2. Step 2: Convert to fraction form
    254,209.50/547,821 = 547,821/x
  3. Step 3: Cross multiply
    254,209.50x = 547,821 × 547,821
  4. Step 4: Simplify right side
    254,209.50x = 300,107,848,041
  5. Step 5: Solve for x
    x = 300,107,848,041/254,209.50
  6. Step 6: Final answer
    x = 1,180,553.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.