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Finding the Third Proportional to 271,444.50 and 443,623.50

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Solution

The third proportional to 271,444.50 and 443,623.50 is: 725,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,444.50 : 443,623.50 = 443,623.50 : x
  2. Step 2: Convert to fraction form
    271,444.50/443,623.50 = 443,623.50/x
  3. Step 3: Cross multiply
    271,444.50x = 443,623.50 × 443,623.50
  4. Step 4: Simplify right side
    271,444.50x = 196,801,809,752.25
  5. Step 5: Solve for x
    x = 196,801,809,752.25/271,444.50
  6. Step 6: Final answer
    x = 725,016.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.