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Finding the Third Proportional to 328,635 and 672,846

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Solution

The third proportional to 328,635 and 672,846 is: 1,377,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,635 : 672,846 = 672,846 : x
  2. Step 2: Convert to fraction form
    328,635/672,846 = 672,846/x
  3. Step 3: Cross multiply
    328,635x = 672,846 × 672,846
  4. Step 4: Simplify right side
    328,635x = 452,721,739,716
  5. Step 5: Solve for x
    x = 452,721,739,716/328,635
  6. Step 6: Final answer
    x = 1,377,582.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.