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Finding the Third Proportional to 300,796 and 642,193

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Solution

The third proportional to 300,796 and 642,193 is: 1,371,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,796 : 642,193 = 642,193 : x
  2. Step 2: Convert to fraction form
    300,796/642,193 = 642,193/x
  3. Step 3: Cross multiply
    300,796x = 642,193 × 642,193
  4. Step 4: Simplify right side
    300,796x = 412,411,849,249
  5. Step 5: Solve for x
    x = 412,411,849,249/300,796
  6. Step 6: Final answer
    x = 1,371,068.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.