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Finding the Third Proportional to 295,440 and 443,055

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Solution

The third proportional to 295,440 and 443,055 is: 664,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,440 : 443,055 = 443,055 : x
  2. Step 2: Convert to fraction form
    295,440/443,055 = 443,055/x
  3. Step 3: Cross multiply
    295,440x = 443,055 × 443,055
  4. Step 4: Simplify right side
    295,440x = 196,297,733,025
  5. Step 5: Solve for x
    x = 196,297,733,025/295,440
  6. Step 6: Final answer
    x = 664,425.04

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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.