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Finding the Third Proportional to 209,751.75 and 447,525

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Solution

The third proportional to 209,751.75 and 447,525 is: 954,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,751.75 : 447,525 = 447,525 : x
  2. Step 2: Convert to fraction form
    209,751.75/447,525 = 447,525/x
  3. Step 3: Cross multiply
    209,751.75x = 447,525 × 447,525
  4. Step 4: Simplify right side
    209,751.75x = 200,278,625,625
  5. Step 5: Solve for x
    x = 200,278,625,625/209,751.75
  6. Step 6: Final answer
    x = 954,836.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.