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Finding the Third Proportional to 295,750 and 443,120

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Solution

The third proportional to 295,750 and 443,120 is: 663,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,750 : 443,120 = 443,120 : x
  2. Step 2: Convert to fraction form
    295,750/443,120 = 443,120/x
  3. Step 3: Cross multiply
    295,750x = 443,120 × 443,120
  4. Step 4: Simplify right side
    295,750x = 196,355,334,400
  5. Step 5: Solve for x
    x = 196,355,334,400/295,750
  6. Step 6: Final answer
    x = 663,923.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.