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Finding the Third Proportional to 395,785 and 933,376

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Solution

The third proportional to 395,785 and 933,376 is: 2,201,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,785 : 933,376 = 933,376 : x
  2. Step 2: Convert to fraction form
    395,785/933,376 = 933,376/x
  3. Step 3: Cross multiply
    395,785x = 933,376 × 933,376
  4. Step 4: Simplify right side
    395,785x = 871,190,757,376
  5. Step 5: Solve for x
    x = 871,190,757,376/395,785
  6. Step 6: Final answer
    x = 2,201,171.74

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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.