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Finding the Third Proportional to 538,236 and 731,293

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Solution

The third proportional to 538,236 and 731,293 is: 993,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,236 : 731,293 = 731,293 : x
  2. Step 2: Convert to fraction form
    538,236/731,293 = 731,293/x
  3. Step 3: Cross multiply
    538,236x = 731,293 × 731,293
  4. Step 4: Simplify right side
    538,236x = 534,789,451,849
  5. Step 5: Solve for x
    x = 534,789,451,849/538,236
  6. Step 6: Final answer
    x = 993,596.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.