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Finding the Third Proportional to 227,798 and 350,619

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Solution

The third proportional to 227,798 and 350,619 is: 539,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,798 : 350,619 = 350,619 : x
  2. Step 2: Convert to fraction form
    227,798/350,619 = 350,619/x
  3. Step 3: Cross multiply
    227,798x = 350,619 × 350,619
  4. Step 4: Simplify right side
    227,798x = 122,933,683,161
  5. Step 5: Solve for x
    x = 122,933,683,161/227,798
  6. Step 6: Final answer
    x = 539,660.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.