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Finding the Third Proportional to 289,760.25 and 443,250

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Solution

The third proportional to 289,760.25 and 443,250 is: 678,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,760.25 : 443,250 = 443,250 : x
  2. Step 2: Convert to fraction form
    289,760.25/443,250 = 443,250/x
  3. Step 3: Cross multiply
    289,760.25x = 443,250 × 443,250
  4. Step 4: Simplify right side
    289,760.25x = 196,470,562,500
  5. Step 5: Solve for x
    x = 196,470,562,500/289,760.25
  6. Step 6: Final answer
    x = 678,045.25

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