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Finding the Third Proportional to 295,800 and 443,556

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Solution

The third proportional to 295,800 and 443,556 is: 665,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,800 : 443,556 = 443,556 : x
  2. Step 2: Convert to fraction form
    295,800/443,556 = 443,556/x
  3. Step 3: Cross multiply
    295,800x = 443,556 × 443,556
  4. Step 4: Simplify right side
    295,800x = 196,741,925,136
  5. Step 5: Solve for x
    x = 196,741,925,136/295,800
  6. Step 6: Final answer
    x = 665,118.07

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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.