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Finding the Third Proportional to 295,445.25 and 443,059.50

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Solution

The third proportional to 295,445.25 and 443,059.50 is: 664,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,445.25 : 443,059.50 = 443,059.50 : x
  2. Step 2: Convert to fraction form
    295,445.25/443,059.50 = 443,059.50/x
  3. Step 3: Cross multiply
    295,445.25x = 443,059.50 × 443,059.50
  4. Step 4: Simplify right side
    295,445.25x = 196,301,720,540.25
  5. Step 5: Solve for x
    x = 196,301,720,540.25/295,445.25
  6. Step 6: Final answer
    x = 664,426.73

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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.