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Finding the Third Proportional to 254,652 and 382,008.75

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Solution

The third proportional to 254,652 and 382,008.75 is: 573,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,652 : 382,008.75 = 382,008.75 : x
  2. Step 2: Convert to fraction form
    254,652/382,008.75 = 382,008.75/x
  3. Step 3: Cross multiply
    254,652x = 382,008.75 × 382,008.75
  4. Step 4: Simplify right side
    254,652x = 145,930,685,076.56
  5. Step 5: Solve for x
    x = 145,930,685,076.56/254,652
  6. Step 6: Final answer
    x = 573,059.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.