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Finding the Third Proportional to 473,408 and 665,876

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Solution

The third proportional to 473,408 and 665,876 is: 936,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,408 : 665,876 = 665,876 : x
  2. Step 2: Convert to fraction form
    473,408/665,876 = 665,876/x
  3. Step 3: Cross multiply
    473,408x = 665,876 × 665,876
  4. Step 4: Simplify right side
    473,408x = 443,390,847,376
  5. Step 5: Solve for x
    x = 443,390,847,376/473,408
  6. Step 6: Final answer
    x = 936,593.48

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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.