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Finding the Third Proportional to 295,295.63 and 443,175.75

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Solution

The third proportional to 295,295.63 and 443,175.75 is: 665,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,295.63 : 443,175.75 = 443,175.75 : x
  2. Step 2: Convert to fraction form
    295,295.63/443,175.75 = 443,175.75/x
  3. Step 3: Cross multiply
    295,295.63x = 443,175.75 × 443,175.75
  4. Step 4: Simplify right side
    295,295.63x = 196,404,745,388.06
  5. Step 5: Solve for x
    x = 196,404,745,388.06/295,295.63
  6. Step 6: Final answer
    x = 665,112.28

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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.