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Finding the Third Proportional to 308,396 and 675,841

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Solution

The third proportional to 308,396 and 675,841 is: 1,481,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,396 : 675,841 = 675,841 : x
  2. Step 2: Convert to fraction form
    308,396/675,841 = 675,841/x
  3. Step 3: Cross multiply
    308,396x = 675,841 × 675,841
  4. Step 4: Simplify right side
    308,396x = 456,761,057,281
  5. Step 5: Solve for x
    x = 456,761,057,281/308,396
  6. Step 6: Final answer
    x = 1,481,086.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.