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Finding the Third Proportional to 289,950.75 and 443,540.25

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Solution

The third proportional to 289,950.75 and 443,540.25 is: 678,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,950.75 : 443,540.25 = 443,540.25 : x
  2. Step 2: Convert to fraction form
    289,950.75/443,540.25 = 443,540.25/x
  3. Step 3: Cross multiply
    289,950.75x = 443,540.25 × 443,540.25
  4. Step 4: Simplify right side
    289,950.75x = 196,727,953,370.06
  5. Step 5: Solve for x
    x = 196,727,953,370.06/289,950.75
  6. Step 6: Final answer
    x = 678,487.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.