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Finding the Third Proportional to 225,704 and 350,608

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Solution

The third proportional to 225,704 and 350,608 is: 544,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,704 : 350,608 = 350,608 : x
  2. Step 2: Convert to fraction form
    225,704/350,608 = 350,608/x
  3. Step 3: Cross multiply
    225,704x = 350,608 × 350,608
  4. Step 4: Simplify right side
    225,704x = 122,925,969,664
  5. Step 5: Solve for x
    x = 122,925,969,664/225,704
  6. Step 6: Final answer
    x = 544,633.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.