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Finding the Third Proportional to 538,000 and 753,992

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Solution

The third proportional to 538,000 and 753,992 is: 1,056,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000 : 753,992 = 753,992 : x
  2. Step 2: Convert to fraction form
    538,000/753,992 = 753,992/x
  3. Step 3: Cross multiply
    538,000x = 753,992 × 753,992
  4. Step 4: Simplify right side
    538,000x = 568,503,936,064
  5. Step 5: Solve for x
    x = 568,503,936,064/538,000
  6. Step 6: Final answer
    x = 1,056,698.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.