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Finding the Third Proportional to 382,728 and 823,958

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Solution

The third proportional to 382,728 and 823,958 is: 1,773,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,728 : 823,958 = 823,958 : x
  2. Step 2: Convert to fraction form
    382,728/823,958 = 823,958/x
  3. Step 3: Cross multiply
    382,728x = 823,958 × 823,958
  4. Step 4: Simplify right side
    382,728x = 678,906,785,764
  5. Step 5: Solve for x
    x = 678,906,785,764/382,728
  6. Step 6: Final answer
    x = 1,773,862.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.