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Finding the Third Proportional to 301,096.69 and 443,327.63

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Solution

The third proportional to 301,096.69 and 443,327.63 is: 652,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.69 : 443,327.63 = 443,327.63 : x
  2. Step 2: Convert to fraction form
    301,096.69/443,327.63 = 443,327.63/x
  3. Step 3: Cross multiply
    301,096.69x = 443,327.63 × 443,327.63
  4. Step 4: Simplify right side
    301,096.69x = 196,539,383,088.14
  5. Step 5: Solve for x
    x = 196,539,383,088.14/301,096.69
  6. Step 6: Final answer
    x = 652,745.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.