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Finding the Third Proportional to 328,644 and 672,828

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Solution

The third proportional to 328,644 and 672,828 is: 1,377,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,644 : 672,828 = 672,828 : x
  2. Step 2: Convert to fraction form
    328,644/672,828 = 672,828/x
  3. Step 3: Cross multiply
    328,644x = 672,828 × 672,828
  4. Step 4: Simplify right side
    328,644x = 452,697,517,584
  5. Step 5: Solve for x
    x = 452,697,517,584/328,644
  6. Step 6: Final answer
    x = 1,377,470.81

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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.