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Finding the Third Proportional to 321,910 and 509,616

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Solution

The third proportional to 321,910 and 509,616 is: 806,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,910 : 509,616 = 509,616 : x
  2. Step 2: Convert to fraction form
    321,910/509,616 = 509,616/x
  3. Step 3: Cross multiply
    321,910x = 509,616 × 509,616
  4. Step 4: Simplify right side
    321,910x = 259,708,467,456
  5. Step 5: Solve for x
    x = 259,708,467,456/321,910
  6. Step 6: Final answer
    x = 806,773.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.