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Finding the Third Proportional to 376,960 and 819,344

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Solution

The third proportional to 376,960 and 819,344 is: 1,780,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,960 : 819,344 = 819,344 : x
  2. Step 2: Convert to fraction form
    376,960/819,344 = 819,344/x
  3. Step 3: Cross multiply
    376,960x = 819,344 × 819,344
  4. Step 4: Simplify right side
    376,960x = 671,324,590,336
  5. Step 5: Solve for x
    x = 671,324,590,336/376,960
  6. Step 6: Final answer
    x = 1,780,890.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.