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Finding the Third Proportional to 227,954 and 497,866

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Solution

The third proportional to 227,954 and 497,866 is: 1,087,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,954 : 497,866 = 497,866 : x
  2. Step 2: Convert to fraction form
    227,954/497,866 = 497,866/x
  3. Step 3: Cross multiply
    227,954x = 497,866 × 497,866
  4. Step 4: Simplify right side
    227,954x = 247,870,553,956
  5. Step 5: Solve for x
    x = 247,870,553,956/227,954
  6. Step 6: Final answer
    x = 1,087,370.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.