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Finding the Third Proportional to 325,466 and 666,788

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Solution

The third proportional to 325,466 and 666,788 is: 1,366,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466 : 666,788 = 666,788 : x
  2. Step 2: Convert to fraction form
    325,466/666,788 = 666,788/x
  3. Step 3: Cross multiply
    325,466x = 666,788 × 666,788
  4. Step 4: Simplify right side
    325,466x = 444,606,236,944
  5. Step 5: Solve for x
    x = 444,606,236,944/325,466
  6. Step 6: Final answer
    x = 1,366,060.47

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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.