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Finding the Third Proportional to 289,669 and 605,828

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Solution

The third proportional to 289,669 and 605,828 is: 1,267,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,669 : 605,828 = 605,828 : x
  2. Step 2: Convert to fraction form
    289,669/605,828 = 605,828/x
  3. Step 3: Cross multiply
    289,669x = 605,828 × 605,828
  4. Step 4: Simplify right side
    289,669x = 367,027,565,584
  5. Step 5: Solve for x
    x = 367,027,565,584/289,669
  6. Step 6: Final answer
    x = 1,267,058.49

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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.