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Finding the Third Proportional to 225,767.25 and 493,512.75

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Solution

The third proportional to 225,767.25 and 493,512.75 is: 1,078,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,767.25 : 493,512.75 = 493,512.75 : x
  2. Step 2: Convert to fraction form
    225,767.25/493,512.75 = 493,512.75/x
  3. Step 3: Cross multiply
    225,767.25x = 493,512.75 × 493,512.75
  4. Step 4: Simplify right side
    225,767.25x = 243,554,834,412.56
  5. Step 5: Solve for x
    x = 243,554,834,412.56/225,767.25
  6. Step 6: Final answer
    x = 1,078,787.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.