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Finding the Third Proportional to 541,184.25 and 1,168,173.75

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Solution

The third proportional to 541,184.25 and 1,168,173.75 is: 2,521,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,184.25 : 1,168,173.75 = 1,168,173.75 : x
  2. Step 2: Convert to fraction form
    541,184.25/1,168,173.75 = 1,168,173.75/x
  3. Step 3: Cross multiply
    541,184.25x = 1,168,173.75 × 1,168,173.75
  4. Step 4: Simplify right side
    541,184.25x = 1,364,629,910,189.06
  5. Step 5: Solve for x
    x = 1,364,629,910,189.06/541,184.25
  6. Step 6: Final answer
    x = 2,521,562.50

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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.