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Finding the Third Proportional to 386,393 and 591,063

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Solution

The third proportional to 386,393 and 591,063 is: 904,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,393 : 591,063 = 591,063 : x
  2. Step 2: Convert to fraction form
    386,393/591,063 = 591,063/x
  3. Step 3: Cross multiply
    386,393x = 591,063 × 591,063
  4. Step 4: Simplify right side
    386,393x = 349,355,469,969
  5. Step 5: Solve for x
    x = 349,355,469,969/386,393
  6. Step 6: Final answer
    x = 904,145.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.