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Finding the Third Proportional to 382,652 and 595,848

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Solution

The third proportional to 382,652 and 595,848 is: 927,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,652 : 595,848 = 595,848 : x
  2. Step 2: Convert to fraction form
    382,652/595,848 = 595,848/x
  3. Step 3: Cross multiply
    382,652x = 595,848 × 595,848
  4. Step 4: Simplify right side
    382,652x = 355,034,839,104
  5. Step 5: Solve for x
    x = 355,034,839,104/382,652
  6. Step 6: Final answer
    x = 927,826.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.