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Finding the Third Proportional to 291,474 and 428,876

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Solution

The third proportional to 291,474 and 428,876 is: 631,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,474 : 428,876 = 428,876 : x
  2. Step 2: Convert to fraction form
    291,474/428,876 = 428,876/x
  3. Step 3: Cross multiply
    291,474x = 428,876 × 428,876
  4. Step 4: Simplify right side
    291,474x = 183,934,623,376
  5. Step 5: Solve for x
    x = 183,934,623,376/291,474
  6. Step 6: Final answer
    x = 631,049.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.