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Finding the Third Proportional to 382,256 and 534,648

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Solution

The third proportional to 382,256 and 534,648 is: 747,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,256 : 534,648 = 534,648 : x
  2. Step 2: Convert to fraction form
    382,256/534,648 = 534,648/x
  3. Step 3: Cross multiply
    382,256x = 534,648 × 534,648
  4. Step 4: Simplify right side
    382,256x = 285,848,483,904
  5. Step 5: Solve for x
    x = 285,848,483,904/382,256
  6. Step 6: Final answer
    x = 747,793.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.