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Finding the Third Proportional to 473,404 and 665,874

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Solution

The third proportional to 473,404 and 665,874 is: 936,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,404 : 665,874 = 665,874 : x
  2. Step 2: Convert to fraction form
    473,404/665,874 = 665,874/x
  3. Step 3: Cross multiply
    473,404x = 665,874 × 665,874
  4. Step 4: Simplify right side
    473,404x = 443,388,183,876
  5. Step 5: Solve for x
    x = 443,388,183,876/473,404
  6. Step 6: Final answer
    x = 936,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.