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Finding the Third Proportional to 328,672 and 672,920

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Solution

The third proportional to 328,672 and 672,920 is: 1,377,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,672 : 672,920 = 672,920 : x
  2. Step 2: Convert to fraction form
    328,672/672,920 = 672,920/x
  3. Step 3: Cross multiply
    328,672x = 672,920 × 672,920
  4. Step 4: Simplify right side
    328,672x = 452,821,326,400
  5. Step 5: Solve for x
    x = 452,821,326,400/328,672
  6. Step 6: Final answer
    x = 1,377,730.16

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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.