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Finding the Third Proportional to 338,993 and 512,863

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Solution

The third proportional to 338,993 and 512,863 is: 775,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,993 : 512,863 = 512,863 : x
  2. Step 2: Convert to fraction form
    338,993/512,863 = 512,863/x
  3. Step 3: Cross multiply
    338,993x = 512,863 × 512,863
  4. Step 4: Simplify right side
    338,993x = 263,028,456,769
  5. Step 5: Solve for x
    x = 263,028,456,769/338,993
  6. Step 6: Final answer
    x = 775,911.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.