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Finding the Third Proportional to 325,980 and 672,264

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Solution

The third proportional to 325,980 and 672,264 is: 1,386,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,980 : 672,264 = 672,264 : x
  2. Step 2: Convert to fraction form
    325,980/672,264 = 672,264/x
  3. Step 3: Cross multiply
    325,980x = 672,264 × 672,264
  4. Step 4: Simplify right side
    325,980x = 451,938,885,696
  5. Step 5: Solve for x
    x = 451,938,885,696/325,980
  6. Step 6: Final answer
    x = 1,386,400.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.