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Finding the Third Proportional to 379,198 and 805,052

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Solution

The third proportional to 379,198 and 805,052 is: 1,709,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,198 : 805,052 = 805,052 : x
  2. Step 2: Convert to fraction form
    379,198/805,052 = 805,052/x
  3. Step 3: Cross multiply
    379,198x = 805,052 × 805,052
  4. Step 4: Simplify right side
    379,198x = 648,108,722,704
  5. Step 5: Solve for x
    x = 648,108,722,704/379,198
  6. Step 6: Final answer
    x = 1,709,156.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.