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Finding the Third Proportional to 366,383 and 522,966

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Solution

The third proportional to 366,383 and 522,966 is: 746,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,383 : 522,966 = 522,966 : x
  2. Step 2: Convert to fraction form
    366,383/522,966 = 522,966/x
  3. Step 3: Cross multiply
    366,383x = 522,966 × 522,966
  4. Step 4: Simplify right side
    366,383x = 273,493,437,156
  5. Step 5: Solve for x
    x = 273,493,437,156/366,383
  6. Step 6: Final answer
    x = 746,468.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.