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Finding the Third Proportional to 328,653 and 672,882

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Solution

The third proportional to 328,653 and 672,882 is: 1,377,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,653 : 672,882 = 672,882 : x
  2. Step 2: Convert to fraction form
    328,653/672,882 = 672,882/x
  3. Step 3: Cross multiply
    328,653x = 672,882 × 672,882
  4. Step 4: Simplify right side
    328,653x = 452,770,185,924
  5. Step 5: Solve for x
    x = 452,770,185,924/328,653
  6. Step 6: Final answer
    x = 1,377,654.20

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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.