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Finding the Third Proportional to 379,668 and 802,026

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Solution

The third proportional to 379,668 and 802,026 is: 1,694,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,668 : 802,026 = 802,026 : x
  2. Step 2: Convert to fraction form
    379,668/802,026 = 802,026/x
  3. Step 3: Cross multiply
    379,668x = 802,026 × 802,026
  4. Step 4: Simplify right side
    379,668x = 643,245,704,676
  5. Step 5: Solve for x
    x = 643,245,704,676/379,668
  6. Step 6: Final answer
    x = 1,694,232.08

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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.