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Finding the Third Proportional to 605,733 and 882,309

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Solution

The third proportional to 605,733 and 882,309 is: 1,285,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,733 : 882,309 = 882,309 : x
  2. Step 2: Convert to fraction form
    605,733/882,309 = 882,309/x
  3. Step 3: Cross multiply
    605,733x = 882,309 × 882,309
  4. Step 4: Simplify right side
    605,733x = 778,469,171,481
  5. Step 5: Solve for x
    x = 778,469,171,481/605,733
  6. Step 6: Final answer
    x = 1,285,168.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.