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Finding the Third Proportional to 225,768.50 and 493,515.25

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Solution

The third proportional to 225,768.50 and 493,515.25 is: 1,078,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768.50 : 493,515.25 = 493,515.25 : x
  2. Step 2: Convert to fraction form
    225,768.50/493,515.25 = 493,515.25/x
  3. Step 3: Cross multiply
    225,768.50x = 493,515.25 × 493,515.25
  4. Step 4: Simplify right side
    225,768.50x = 243,557,301,982.56
  5. Step 5: Solve for x
    x = 243,557,301,982.56/225,768.50
  6. Step 6: Final answer
    x = 1,078,792.22

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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.