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Finding the Third Proportional to 289,652 and 605,764

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Solution

The third proportional to 289,652 and 605,764 is: 1,266,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652 : 605,764 = 605,764 : x
  2. Step 2: Convert to fraction form
    289,652/605,764 = 605,764/x
  3. Step 3: Cross multiply
    289,652x = 605,764 × 605,764
  4. Step 4: Simplify right side
    289,652x = 366,950,023,696
  5. Step 5: Solve for x
    x = 366,950,023,696/289,652
  6. Step 6: Final answer
    x = 1,266,865.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.