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Finding the Third Proportional to 232,089 and 494,526

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Solution

The third proportional to 232,089 and 494,526 is: 1,053,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,089 : 494,526 = 494,526 : x
  2. Step 2: Convert to fraction form
    232,089/494,526 = 494,526/x
  3. Step 3: Cross multiply
    232,089x = 494,526 × 494,526
  4. Step 4: Simplify right side
    232,089x = 244,555,964,676
  5. Step 5: Solve for x
    x = 244,555,964,676/232,089
  6. Step 6: Final answer
    x = 1,053,716.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.