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Finding the Third Proportional to 253,118 and 534,696

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Solution

The third proportional to 253,118 and 534,696 is: 1,129,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,118 : 534,696 = 534,696 : x
  2. Step 2: Convert to fraction form
    253,118/534,696 = 534,696/x
  3. Step 3: Cross multiply
    253,118x = 534,696 × 534,696
  4. Step 4: Simplify right side
    253,118x = 285,899,812,416
  5. Step 5: Solve for x
    x = 285,899,812,416/253,118
  6. Step 6: Final answer
    x = 1,129,511.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.