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Finding the Third Proportional to 379,671 and 802,032

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Solution

The third proportional to 379,671 and 802,032 is: 1,694,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,671 : 802,032 = 802,032 : x
  2. Step 2: Convert to fraction form
    379,671/802,032 = 802,032/x
  3. Step 3: Cross multiply
    379,671x = 802,032 × 802,032
  4. Step 4: Simplify right side
    379,671x = 643,255,329,024
  5. Step 5: Solve for x
    x = 643,255,329,024/379,671
  6. Step 6: Final answer
    x = 1,694,244.04

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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.