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Finding the Third Proportional to 328,660 and 672,896

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Solution

The third proportional to 328,660 and 672,896 is: 1,377,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,660 : 672,896 = 672,896 : x
  2. Step 2: Convert to fraction form
    328,660/672,896 = 672,896/x
  3. Step 3: Cross multiply
    328,660x = 672,896 × 672,896
  4. Step 4: Simplify right side
    328,660x = 452,789,026,816
  5. Step 5: Solve for x
    x = 452,789,026,816/328,660
  6. Step 6: Final answer
    x = 1,377,682.18

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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.