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Finding the Third Proportional to 512,253 and 751,761

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Solution

The third proportional to 512,253 and 751,761 is: 1,103,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,253 : 751,761 = 751,761 : x
  2. Step 2: Convert to fraction form
    512,253/751,761 = 751,761/x
  3. Step 3: Cross multiply
    512,253x = 751,761 × 751,761
  4. Step 4: Simplify right side
    512,253x = 565,144,601,121
  5. Step 5: Solve for x
    x = 565,144,601,121/512,253
  6. Step 6: Final answer
    x = 1,103,252.89

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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.