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Finding the Third Proportional to 512,247 and 751,764

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Solution

The third proportional to 512,247 and 751,764 is: 1,103,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,247 : 751,764 = 751,764 : x
  2. Step 2: Convert to fraction form
    512,247/751,764 = 751,764/x
  3. Step 3: Cross multiply
    512,247x = 751,764 × 751,764
  4. Step 4: Simplify right side
    512,247x = 565,149,111,696
  5. Step 5: Solve for x
    x = 565,149,111,696/512,247
  6. Step 6: Final answer
    x = 1,103,274.61

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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.