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Finding the Third Proportional to 254,932 and 404,896

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Solution

The third proportional to 254,932 and 404,896 is: 643,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,932 : 404,896 = 404,896 : x
  2. Step 2: Convert to fraction form
    254,932/404,896 = 404,896/x
  3. Step 3: Cross multiply
    254,932x = 404,896 × 404,896
  4. Step 4: Simplify right side
    254,932x = 163,940,770,816
  5. Step 5: Solve for x
    x = 163,940,770,816/254,932
  6. Step 6: Final answer
    x = 643,076.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.