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Finding the Third Proportional to 513,204 and 796,584

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Solution

The third proportional to 513,204 and 796,584 is: 1,236,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,204 : 796,584 = 796,584 : x
  2. Step 2: Convert to fraction form
    513,204/796,584 = 796,584/x
  3. Step 3: Cross multiply
    513,204x = 796,584 × 796,584
  4. Step 4: Simplify right side
    513,204x = 634,546,069,056
  5. Step 5: Solve for x
    x = 634,546,069,056/513,204
  6. Step 6: Final answer
    x = 1,236,440.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.