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Finding the Third Proportional to 395,883 and 933,591

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Solution

The third proportional to 395,883 and 933,591 is: 2,201,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,883 : 933,591 = 933,591 : x
  2. Step 2: Convert to fraction form
    395,883/933,591 = 933,591/x
  3. Step 3: Cross multiply
    395,883x = 933,591 × 933,591
  4. Step 4: Simplify right side
    395,883x = 871,592,155,281
  5. Step 5: Solve for x
    x = 871,592,155,281/395,883
  6. Step 6: Final answer
    x = 2,201,640.78

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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.