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Finding the Third Proportional to 443,052 and 664,983

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Solution

The third proportional to 443,052 and 664,983 is: 998,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,052 : 664,983 = 664,983 : x
  2. Step 2: Convert to fraction form
    443,052/664,983 = 664,983/x
  3. Step 3: Cross multiply
    443,052x = 664,983 × 664,983
  4. Step 4: Simplify right side
    443,052x = 442,202,390,289
  5. Step 5: Solve for x
    x = 442,202,390,289/443,052
  6. Step 6: Final answer
    x = 998,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.