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Finding the Third Proportional to 377,960 and 822,349

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Solution

The third proportional to 377,960 and 822,349 is: 1,789,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,960 : 822,349 = 822,349 : x
  2. Step 2: Convert to fraction form
    377,960/822,349 = 822,349/x
  3. Step 3: Cross multiply
    377,960x = 822,349 × 822,349
  4. Step 4: Simplify right side
    377,960x = 676,257,877,801
  5. Step 5: Solve for x
    x = 676,257,877,801/377,960
  6. Step 6: Final answer
    x = 1,789,231.34

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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.