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Finding the Third Proportional to 301,150.41 and 443,399.06

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Solution

The third proportional to 301,150.41 and 443,399.06 is: 652,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,150.41 : 443,399.06 = 443,399.06 : x
  2. Step 2: Convert to fraction form
    301,150.41/443,399.06 = 443,399.06/x
  3. Step 3: Cross multiply
    301,150.41x = 443,399.06 × 443,399.06
  4. Step 4: Simplify right side
    301,150.41x = 196,602,728,625.88
  5. Step 5: Solve for x
    x = 196,602,728,625.88/301,150.41
  6. Step 6: Final answer
    x = 652,839.00

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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.