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Finding the Third Proportional to 515,642 and 796,797

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Solution

The third proportional to 515,642 and 796,797 is: 1,231,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,642 : 796,797 = 796,797 : x
  2. Step 2: Convert to fraction form
    515,642/796,797 = 796,797/x
  3. Step 3: Cross multiply
    515,642x = 796,797 × 796,797
  4. Step 4: Simplify right side
    515,642x = 634,885,459,209
  5. Step 5: Solve for x
    x = 634,885,459,209/515,642
  6. Step 6: Final answer
    x = 1,231,252.42

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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.