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Finding the Third Proportional to 289,658 and 605,797

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Solution

The third proportional to 289,658 and 605,797 is: 1,266,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658 : 605,797 = 605,797 : x
  2. Step 2: Convert to fraction form
    289,658/605,797 = 605,797/x
  3. Step 3: Cross multiply
    289,658x = 605,797 × 605,797
  4. Step 4: Simplify right side
    289,658x = 366,990,005,209
  5. Step 5: Solve for x
    x = 366,990,005,209/289,658
  6. Step 6: Final answer
    x = 1,266,976.94

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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.