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Finding the Third Proportional to 350,644.50 and 496,158.75

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Solution

The third proportional to 350,644.50 and 496,158.75 is: 702,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,644.50 : 496,158.75 = 496,158.75 : x
  2. Step 2: Convert to fraction form
    350,644.50/496,158.75 = 496,158.75/x
  3. Step 3: Cross multiply
    350,644.50x = 496,158.75 × 496,158.75
  4. Step 4: Simplify right side
    350,644.50x = 246,173,505,201.56
  5. Step 5: Solve for x
    x = 246,173,505,201.56/350,644.50
  6. Step 6: Final answer
    x = 702,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.