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Finding the Third Proportional to 328,650 and 672,876

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Solution

The third proportional to 328,650 and 672,876 is: 1,377,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,650 : 672,876 = 672,876 : x
  2. Step 2: Convert to fraction form
    328,650/672,876 = 672,876/x
  3. Step 3: Cross multiply
    328,650x = 672,876 × 672,876
  4. Step 4: Simplify right side
    328,650x = 452,762,111,376
  5. Step 5: Solve for x
    x = 452,762,111,376/328,650
  6. Step 6: Final answer
    x = 1,377,642.21

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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.