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Finding the Third Proportional to 515,706 and 796,887

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Solution

The third proportional to 515,706 and 796,887 is: 1,231,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,706 : 796,887 = 796,887 : x
  2. Step 2: Convert to fraction form
    515,706/796,887 = 796,887/x
  3. Step 3: Cross multiply
    515,706x = 796,887 × 796,887
  4. Step 4: Simplify right side
    515,706x = 635,028,890,769
  5. Step 5: Solve for x
    x = 635,028,890,769/515,706
  6. Step 6: Final answer
    x = 1,231,377.74

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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.