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Finding the Third Proportional to 362,091.88 and 547,797.25

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Solution

The third proportional to 362,091.88 and 547,797.25 is: 828,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,091.88 : 547,797.25 = 547,797.25 : x
  2. Step 2: Convert to fraction form
    362,091.88/547,797.25 = 547,797.25/x
  3. Step 3: Cross multiply
    362,091.88x = 547,797.25 × 547,797.25
  4. Step 4: Simplify right side
    362,091.88x = 300,081,827,107.56
  5. Step 5: Solve for x
    x = 300,081,827,107.56/362,091.88
  6. Step 6: Final answer
    x = 828,744.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.