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Finding the Third Proportional to 251,934 and 386,577

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Solution

The third proportional to 251,934 and 386,577 is: 593,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,934 : 386,577 = 386,577 : x
  2. Step 2: Convert to fraction form
    251,934/386,577 = 386,577/x
  3. Step 3: Cross multiply
    251,934x = 386,577 × 386,577
  4. Step 4: Simplify right side
    251,934x = 149,441,776,929
  5. Step 5: Solve for x
    x = 149,441,776,929/251,934
  6. Step 6: Final answer
    x = 593,178.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.