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Finding the Third Proportional to 379,026 and 829,266

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Solution

The third proportional to 379,026 and 829,266 is: 1,814,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,026 : 829,266 = 829,266 : x
  2. Step 2: Convert to fraction form
    379,026/829,266 = 829,266/x
  3. Step 3: Cross multiply
    379,026x = 829,266 × 829,266
  4. Step 4: Simplify right side
    379,026x = 687,682,098,756
  5. Step 5: Solve for x
    x = 687,682,098,756/379,026
  6. Step 6: Final answer
    x = 1,814,340.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.