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Finding the Third Proportional to 376,500 and 826,728

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Solution

The third proportional to 376,500 and 826,728 is: 1,815,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,500 : 826,728 = 826,728 : x
  2. Step 2: Convert to fraction form
    376,500/826,728 = 826,728/x
  3. Step 3: Cross multiply
    376,500x = 826,728 × 826,728
  4. Step 4: Simplify right side
    376,500x = 683,479,185,984
  5. Step 5: Solve for x
    x = 683,479,185,984/376,500
  6. Step 6: Final answer
    x = 1,815,349.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.