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Finding the Third Proportional to 379,872 and 802,656

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Solution

The third proportional to 379,872 and 802,656 is: 1,695,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,872 : 802,656 = 802,656 : x
  2. Step 2: Convert to fraction form
    379,872/802,656 = 802,656/x
  3. Step 3: Cross multiply
    379,872x = 802,656 × 802,656
  4. Step 4: Simplify right side
    379,872x = 644,256,654,336
  5. Step 5: Solve for x
    x = 644,256,654,336/379,872
  6. Step 6: Final answer
    x = 1,695,983.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.