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Finding the Third Proportional to 227,796 and 350,613

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Solution

The third proportional to 227,796 and 350,613 is: 539,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,796 : 350,613 = 350,613 : x
  2. Step 2: Convert to fraction form
    227,796/350,613 = 350,613/x
  3. Step 3: Cross multiply
    227,796x = 350,613 × 350,613
  4. Step 4: Simplify right side
    227,796x = 122,929,475,769
  5. Step 5: Solve for x
    x = 122,929,475,769/227,796
  6. Step 6: Final answer
    x = 539,647.21

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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.