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Finding the Third Proportional to 254,659.50 and 387,525.75

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Solution

The third proportional to 254,659.50 and 387,525.75 is: 589,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,659.50 : 387,525.75 = 387,525.75 : x
  2. Step 2: Convert to fraction form
    254,659.50/387,525.75 = 387,525.75/x
  3. Step 3: Cross multiply
    254,659.50x = 387,525.75 × 387,525.75
  4. Step 4: Simplify right side
    254,659.50x = 150,176,206,913.06
  5. Step 5: Solve for x
    x = 150,176,206,913.06/254,659.50
  6. Step 6: Final answer
    x = 589,713.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.