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Finding the Third Proportional to 507,663 and 673,876

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Solution

The third proportional to 507,663 and 673,876 is: 894,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,663 : 673,876 = 673,876 : x
  2. Step 2: Convert to fraction form
    507,663/673,876 = 673,876/x
  3. Step 3: Cross multiply
    507,663x = 673,876 × 673,876
  4. Step 4: Simplify right side
    507,663x = 454,108,863,376
  5. Step 5: Solve for x
    x = 454,108,863,376/507,663
  6. Step 6: Final answer
    x = 894,508.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.