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Finding the Third Proportional to 254,888 and 356,496

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Solution

The third proportional to 254,888 and 356,496 is: 498,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,888 : 356,496 = 356,496 : x
  2. Step 2: Convert to fraction form
    254,888/356,496 = 356,496/x
  3. Step 3: Cross multiply
    254,888x = 356,496 × 356,496
  4. Step 4: Simplify right side
    254,888x = 127,089,398,016
  5. Step 5: Solve for x
    x = 127,089,398,016/254,888
  6. Step 6: Final answer
    x = 498,608.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.