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Finding the Third Proportional to 261,954 and 395,118

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Solution

The third proportional to 261,954 and 395,118 is: 595,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,954 : 395,118 = 395,118 : x
  2. Step 2: Convert to fraction form
    261,954/395,118 = 395,118/x
  3. Step 3: Cross multiply
    261,954x = 395,118 × 395,118
  4. Step 4: Simplify right side
    261,954x = 156,118,233,924
  5. Step 5: Solve for x
    x = 156,118,233,924/261,954
  6. Step 6: Final answer
    x = 595,975.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.