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Finding the Third Proportional to 262,017 and 395,199

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Solution

The third proportional to 262,017 and 395,199 is: 596,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,017 : 395,199 = 395,199 : x
  2. Step 2: Convert to fraction form
    262,017/395,199 = 395,199/x
  3. Step 3: Cross multiply
    262,017x = 395,199 × 395,199
  4. Step 4: Simplify right side
    262,017x = 156,182,249,601
  5. Step 5: Solve for x
    x = 156,182,249,601/262,017
  6. Step 6: Final answer
    x = 596,076.78

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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.