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Finding the Third Proportional to 512,243 and 751,769

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Solution

The third proportional to 512,243 and 751,769 is: 1,103,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,243 : 751,769 = 751,769 : x
  2. Step 2: Convert to fraction form
    512,243/751,769 = 751,769/x
  3. Step 3: Cross multiply
    512,243x = 751,769 × 751,769
  4. Step 4: Simplify right side
    512,243x = 565,156,629,361
  5. Step 5: Solve for x
    x = 565,156,629,361/512,243
  6. Step 6: Final answer
    x = 1,103,297.91

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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.