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Finding the Third Proportional to 325,458 and 666,770

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Solution

The third proportional to 325,458 and 666,770 is: 1,366,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,458 : 666,770 = 666,770 : x
  2. Step 2: Convert to fraction form
    325,458/666,770 = 666,770/x
  3. Step 3: Cross multiply
    325,458x = 666,770 × 666,770
  4. Step 4: Simplify right side
    325,458x = 444,582,232,900
  5. Step 5: Solve for x
    x = 444,582,232,900/325,458
  6. Step 6: Final answer
    x = 1,366,020.29

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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.