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Finding the Third Proportional to 320,541 and 496,305

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Solution

The third proportional to 320,541 and 496,305 is: 768,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,541 : 496,305 = 496,305 : x
  2. Step 2: Convert to fraction form
    320,541/496,305 = 496,305/x
  3. Step 3: Cross multiply
    320,541x = 496,305 × 496,305
  4. Step 4: Simplify right side
    320,541x = 246,318,653,025
  5. Step 5: Solve for x
    x = 246,318,653,025/320,541
  6. Step 6: Final answer
    x = 768,446.64

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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.