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Finding the Third Proportional to 288,523.75 and 452,591.75

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Solution

The third proportional to 288,523.75 and 452,591.75 is: 709,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.75 : 452,591.75 = 452,591.75 : x
  2. Step 2: Convert to fraction form
    288,523.75/452,591.75 = 452,591.75/x
  3. Step 3: Cross multiply
    288,523.75x = 452,591.75 × 452,591.75
  4. Step 4: Simplify right side
    288,523.75x = 204,839,292,168.06
  5. Step 5: Solve for x
    x = 204,839,292,168.06/288,523.75
  6. Step 6: Final answer
    x = 709,956.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.