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Finding the Third Proportional to 416,296 and 594,876

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Solution

The third proportional to 416,296 and 594,876 is: 850,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,296 : 594,876 = 594,876 : x
  2. Step 2: Convert to fraction form
    416,296/594,876 = 594,876/x
  3. Step 3: Cross multiply
    416,296x = 594,876 × 594,876
  4. Step 4: Simplify right side
    416,296x = 353,877,455,376
  5. Step 5: Solve for x
    x = 353,877,455,376/416,296
  6. Step 6: Final answer
    x = 850,062.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.