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Finding the Third Proportional to 320,469.75 and 496,057.50

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Solution

The third proportional to 320,469.75 and 496,057.50 is: 767,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.75 : 496,057.50 = 496,057.50 : x
  2. Step 2: Convert to fraction form
    320,469.75/496,057.50 = 496,057.50/x
  3. Step 3: Cross multiply
    320,469.75x = 496,057.50 × 496,057.50
  4. Step 4: Simplify right side
    320,469.75x = 246,073,043,306.25
  5. Step 5: Solve for x
    x = 246,073,043,306.25/320,469.75
  6. Step 6: Final answer
    x = 767,851.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.