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Finding the Third Proportional to 379,728 and 808,544

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Solution

The third proportional to 379,728 and 808,544 is: 1,721,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,728 : 808,544 = 808,544 : x
  2. Step 2: Convert to fraction form
    379,728/808,544 = 808,544/x
  3. Step 3: Cross multiply
    379,728x = 808,544 × 808,544
  4. Step 4: Simplify right side
    379,728x = 653,743,399,936
  5. Step 5: Solve for x
    x = 653,743,399,936/379,728
  6. Step 6: Final answer
    x = 1,721,609.68

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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.