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Finding the Third Proportional to 304,161 and 661,836

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Solution

The third proportional to 304,161 and 661,836 is: 1,440,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,161 : 661,836 = 661,836 : x
  2. Step 2: Convert to fraction form
    304,161/661,836 = 661,836/x
  3. Step 3: Cross multiply
    304,161x = 661,836 × 661,836
  4. Step 4: Simplify right side
    304,161x = 438,026,890,896
  5. Step 5: Solve for x
    x = 438,026,890,896/304,161
  6. Step 6: Final answer
    x = 1,440,115.24

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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.