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Finding the Third Proportional to 491,676 and 672,885

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Solution

The third proportional to 491,676 and 672,885 is: 920,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,676 : 672,885 = 672,885 : x
  2. Step 2: Convert to fraction form
    491,676/672,885 = 672,885/x
  3. Step 3: Cross multiply
    491,676x = 672,885 × 672,885
  4. Step 4: Simplify right side
    491,676x = 452,774,223,225
  5. Step 5: Solve for x
    x = 452,774,223,225/491,676
  6. Step 6: Final answer
    x = 920,879.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.