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Finding the Third Proportional to 533,550 and 813,876

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Solution

The third proportional to 533,550 and 813,876 is: 1,241,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,550 : 813,876 = 813,876 : x
  2. Step 2: Convert to fraction form
    533,550/813,876 = 813,876/x
  3. Step 3: Cross multiply
    533,550x = 813,876 × 813,876
  4. Step 4: Simplify right side
    533,550x = 662,394,143,376
  5. Step 5: Solve for x
    x = 662,394,143,376/533,550
  6. Step 6: Final answer
    x = 1,241,484.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.