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Finding the Third Proportional to 328,634 and 672,844

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Solution

The third proportional to 328,634 and 672,844 is: 1,377,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,634 : 672,844 = 672,844 : x
  2. Step 2: Convert to fraction form
    328,634/672,844 = 672,844/x
  3. Step 3: Cross multiply
    328,634x = 672,844 × 672,844
  4. Step 4: Simplify right side
    328,634x = 452,719,048,336
  5. Step 5: Solve for x
    x = 452,719,048,336/328,634
  6. Step 6: Final answer
    x = 1,377,578.24

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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.