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Finding the Third Proportional to 268,958 and 633,997

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Solution

The third proportional to 268,958 and 633,997 is: 1,494,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,958 : 633,997 = 633,997 : x
  2. Step 2: Convert to fraction form
    268,958/633,997 = 633,997/x
  3. Step 3: Cross multiply
    268,958x = 633,997 × 633,997
  4. Step 4: Simplify right side
    268,958x = 401,952,196,009
  5. Step 5: Solve for x
    x = 401,952,196,009/268,958
  6. Step 6: Final answer
    x = 1,494,479.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.