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Finding the Third Proportional to 325,642 and 491,866

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Solution

The third proportional to 325,642 and 491,866 is: 742,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,642 : 491,866 = 491,866 : x
  2. Step 2: Convert to fraction form
    325,642/491,866 = 491,866/x
  3. Step 3: Cross multiply
    325,642x = 491,866 × 491,866
  4. Step 4: Simplify right side
    325,642x = 241,932,161,956
  5. Step 5: Solve for x
    x = 241,932,161,956/325,642
  6. Step 6: Final answer
    x = 742,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.