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Finding the Third Proportional to 395,850 and 933,519

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Solution

The third proportional to 395,850 and 933,519 is: 2,201,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,850 : 933,519 = 933,519 : x
  2. Step 2: Convert to fraction form
    395,850/933,519 = 933,519/x
  3. Step 3: Cross multiply
    395,850x = 933,519 × 933,519
  4. Step 4: Simplify right side
    395,850x = 871,457,723,361
  5. Step 5: Solve for x
    x = 871,457,723,361/395,850
  6. Step 6: Final answer
    x = 2,201,484.71

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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.