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Finding the Third Proportional to 325,093.50 and 484,197.75

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Solution

The third proportional to 325,093.50 and 484,197.75 is: 721,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,093.50 : 484,197.75 = 484,197.75 : x
  2. Step 2: Convert to fraction form
    325,093.50/484,197.75 = 484,197.75/x
  3. Step 3: Cross multiply
    325,093.50x = 484,197.75 × 484,197.75
  4. Step 4: Simplify right side
    325,093.50x = 234,447,461,105.06
  5. Step 5: Solve for x
    x = 234,447,461,105.06/325,093.50
  6. Step 6: Final answer
    x = 721,169.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.