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Finding the Third Proportional to 320,963 and 496,714

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Solution

The third proportional to 320,963 and 496,714 is: 768,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,963 : 496,714 = 496,714 : x
  2. Step 2: Convert to fraction form
    320,963/496,714 = 496,714/x
  3. Step 3: Cross multiply
    320,963x = 496,714 × 496,714
  4. Step 4: Simplify right side
    320,963x = 246,724,797,796
  5. Step 5: Solve for x
    x = 246,724,797,796/320,963
  6. Step 6: Final answer
    x = 768,701.68

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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.