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Finding the Third Proportional to 268,008 and 574,896

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Solution

The third proportional to 268,008 and 574,896 is: 1,233,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,008 : 574,896 = 574,896 : x
  2. Step 2: Convert to fraction form
    268,008/574,896 = 574,896/x
  3. Step 3: Cross multiply
    268,008x = 574,896 × 574,896
  4. Step 4: Simplify right side
    268,008x = 330,505,410,816
  5. Step 5: Solve for x
    x = 330,505,410,816/268,008
  6. Step 6: Final answer
    x = 1,233,192.33

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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.