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Finding the Third Proportional to 320,922 and 496,935

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Solution

The third proportional to 320,922 and 496,935 is: 769,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,922 : 496,935 = 496,935 : x
  2. Step 2: Convert to fraction form
    320,922/496,935 = 496,935/x
  3. Step 3: Cross multiply
    320,922x = 496,935 × 496,935
  4. Step 4: Simplify right side
    320,922x = 246,944,394,225
  5. Step 5: Solve for x
    x = 246,944,394,225/320,922
  6. Step 6: Final answer
    x = 769,484.16

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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.