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Finding the Third Proportional to 515,646 and 796,803

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Solution

The third proportional to 515,646 and 796,803 is: 1,231,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,646 : 796,803 = 796,803 : x
  2. Step 2: Convert to fraction form
    515,646/796,803 = 796,803/x
  3. Step 3: Cross multiply
    515,646x = 796,803 × 796,803
  4. Step 4: Simplify right side
    515,646x = 634,895,020,809
  5. Step 5: Solve for x
    x = 634,895,020,809/515,646
  6. Step 6: Final answer
    x = 1,231,261.41

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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.