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Finding the Third Proportional to 379,667 and 802,023

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Solution

The third proportional to 379,667 and 802,023 is: 1,694,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,667 : 802,023 = 802,023 : x
  2. Step 2: Convert to fraction form
    379,667/802,023 = 802,023/x
  3. Step 3: Cross multiply
    379,667x = 802,023 × 802,023
  4. Step 4: Simplify right side
    379,667x = 643,240,892,529
  5. Step 5: Solve for x
    x = 643,240,892,529/379,667
  6. Step 6: Final answer
    x = 1,694,223.87

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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.