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Finding the Third Proportional to 204,571.50 and 437,575.50

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Solution

The third proportional to 204,571.50 and 437,575.50 is: 935,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,571.50 : 437,575.50 = 437,575.50 : x
  2. Step 2: Convert to fraction form
    204,571.50/437,575.50 = 437,575.50/x
  3. Step 3: Cross multiply
    204,571.50x = 437,575.50 × 437,575.50
  4. Step 4: Simplify right side
    204,571.50x = 191,472,318,200.25
  5. Step 5: Solve for x
    x = 191,472,318,200.25/204,571.50
  6. Step 6: Final answer
    x = 935,967.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.