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Finding the Third Proportional to 227,810 and 350,634

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Solution

The third proportional to 227,810 and 350,634 is: 539,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,810 : 350,634 = 350,634 : x
  2. Step 2: Convert to fraction form
    227,810/350,634 = 350,634/x
  3. Step 3: Cross multiply
    227,810x = 350,634 × 350,634
  4. Step 4: Simplify right side
    227,810x = 122,944,201,956
  5. Step 5: Solve for x
    x = 122,944,201,956/227,810
  6. Step 6: Final answer
    x = 539,678.69

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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.