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Finding the Third Proportional to 251,305.50 and 541,977

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Solution

The third proportional to 251,305.50 and 541,977 is: 1,168,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,305.50 : 541,977 = 541,977 : x
  2. Step 2: Convert to fraction form
    251,305.50/541,977 = 541,977/x
  3. Step 3: Cross multiply
    251,305.50x = 541,977 × 541,977
  4. Step 4: Simplify right side
    251,305.50x = 293,739,068,529
  5. Step 5: Solve for x
    x = 293,739,068,529/251,305.50
  6. Step 6: Final answer
    x = 1,168,852.53

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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.