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Finding the Third Proportional to 320,944.50 and 496,966.50

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Solution

The third proportional to 320,944.50 and 496,966.50 is: 769,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,944.50 : 496,966.50 = 496,966.50 : x
  2. Step 2: Convert to fraction form
    320,944.50/496,966.50 = 496,966.50/x
  3. Step 3: Cross multiply
    320,944.50x = 496,966.50 × 496,966.50
  4. Step 4: Simplify right side
    320,944.50x = 246,975,702,122.25
  5. Step 5: Solve for x
    x = 246,975,702,122.25/320,944.50
  6. Step 6: Final answer
    x = 769,527.76

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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.