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Finding the Third Proportional to 808,764.75 and 1,760,231.25

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Solution

The third proportional to 808,764.75 and 1,760,231.25 is: 3,831,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,764.75 : 1,760,231.25 = 1,760,231.25 : x
  2. Step 2: Convert to fraction form
    808,764.75/1,760,231.25 = 1,760,231.25/x
  3. Step 3: Cross multiply
    808,764.75x = 1,760,231.25 × 1,760,231.25
  4. Step 4: Simplify right side
    808,764.75x = 3,098,414,053,476.56
  5. Step 5: Solve for x
    x = 3,098,414,053,476.56/808,764.75
  6. Step 6: Final answer
    x = 3,831,044.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.