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Finding the Third Proportional to 295,197.75 and 620,137.69

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Solution

The third proportional to 295,197.75 and 620,137.69 is: 1,302,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,197.75 : 620,137.69 = 620,137.69 : x
  2. Step 2: Convert to fraction form
    295,197.75/620,137.69 = 620,137.69/x
  3. Step 3: Cross multiply
    295,197.75x = 620,137.69 × 620,137.69
  4. Step 4: Simplify right side
    295,197.75x = 384,570,751,457.85
  5. Step 5: Solve for x
    x = 384,570,751,457.85/295,197.75
  6. Step 6: Final answer
    x = 1,302,756.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.