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Finding the Third Proportional to 260,965 and 501,194

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Solution

The third proportional to 260,965 and 501,194 is: 962,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,965 : 501,194 = 501,194 : x
  2. Step 2: Convert to fraction form
    260,965/501,194 = 501,194/x
  3. Step 3: Cross multiply
    260,965x = 501,194 × 501,194
  4. Step 4: Simplify right side
    260,965x = 251,195,425,636
  5. Step 5: Solve for x
    x = 251,195,425,636/260,965
  6. Step 6: Final answer
    x = 962,563.66

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.