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Finding the Third Proportional to 238,927 and 513,268

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Solution

The third proportional to 238,927 and 513,268 is: 1,102,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,927 : 513,268 = 513,268 : x
  2. Step 2: Convert to fraction form
    238,927/513,268 = 513,268/x
  3. Step 3: Cross multiply
    238,927x = 513,268 × 513,268
  4. Step 4: Simplify right side
    238,927x = 263,444,039,824
  5. Step 5: Solve for x
    x = 263,444,039,824/238,927
  6. Step 6: Final answer
    x = 1,102,613.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.