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Finding the Third Proportional to 301,398 and 443,025

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Solution

The third proportional to 301,398 and 443,025 is: 651,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,398 : 443,025 = 443,025 : x
  2. Step 2: Convert to fraction form
    301,398/443,025 = 443,025/x
  3. Step 3: Cross multiply
    301,398x = 443,025 × 443,025
  4. Step 4: Simplify right side
    301,398x = 196,271,150,625
  5. Step 5: Solve for x
    x = 196,271,150,625/301,398
  6. Step 6: Final answer
    x = 651,202.56

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Why These Related Problems?

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