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Finding the Third Proportional to 395,852 and 933,524

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Solution

The third proportional to 395,852 and 933,524 is: 2,201,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,852 : 933,524 = 933,524 : x
  2. Step 2: Convert to fraction form
    395,852/933,524 = 933,524/x
  3. Step 3: Cross multiply
    395,852x = 933,524 × 933,524
  4. Step 4: Simplify right side
    395,852x = 871,467,058,576
  5. Step 5: Solve for x
    x = 871,467,058,576/395,852
  6. Step 6: Final answer
    x = 2,201,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.