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Finding the Third Proportional to 295,824 and 443,226

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Solution

The third proportional to 295,824 and 443,226 is: 664,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,824 : 443,226 = 443,226 : x
  2. Step 2: Convert to fraction form
    295,824/443,226 = 443,226/x
  3. Step 3: Cross multiply
    295,824x = 443,226 × 443,226
  4. Step 4: Simplify right side
    295,824x = 196,449,287,076
  5. Step 5: Solve for x
    x = 196,449,287,076/295,824
  6. Step 6: Final answer
    x = 664,074.88

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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.