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Finding the Third Proportional to 437,548.50 and 656,325

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Solution

The third proportional to 437,548.50 and 656,325 is: 984,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,548.50 : 656,325 = 656,325 : x
  2. Step 2: Convert to fraction form
    437,548.50/656,325 = 656,325/x
  3. Step 3: Cross multiply
    437,548.50x = 656,325 × 656,325
  4. Step 4: Simplify right side
    437,548.50x = 430,762,505,625
  5. Step 5: Solve for x
    x = 430,762,505,625/437,548.50
  6. Step 6: Final answer
    x = 984,490.88

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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.