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Finding the Third Proportional to 308,394 and 675,837

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Solution

The third proportional to 308,394 and 675,837 is: 1,481,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,394 : 675,837 = 675,837 : x
  2. Step 2: Convert to fraction form
    308,394/675,837 = 675,837/x
  3. Step 3: Cross multiply
    308,394x = 675,837 × 675,837
  4. Step 4: Simplify right side
    308,394x = 456,755,650,569
  5. Step 5: Solve for x
    x = 456,755,650,569/308,394
  6. Step 6: Final answer
    x = 1,481,078.27

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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.