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Finding the Third Proportional to 320,966 and 496,734

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Solution

The third proportional to 320,966 and 496,734 is: 768,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,966 : 496,734 = 496,734 : x
  2. Step 2: Convert to fraction form
    320,966/496,734 = 496,734/x
  3. Step 3: Cross multiply
    320,966x = 496,734 × 496,734
  4. Step 4: Simplify right side
    320,966x = 246,744,666,756
  5. Step 5: Solve for x
    x = 246,744,666,756/320,966
  6. Step 6: Final answer
    x = 768,756.40

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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.