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Finding the Third Proportional to 289,464 and 622,992

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Solution

The third proportional to 289,464 and 622,992 is: 1,340,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464 : 622,992 = 622,992 : x
  2. Step 2: Convert to fraction form
    289,464/622,992 = 622,992/x
  3. Step 3: Cross multiply
    289,464x = 622,992 × 622,992
  4. Step 4: Simplify right side
    289,464x = 388,119,032,064
  5. Step 5: Solve for x
    x = 388,119,032,064/289,464
  6. Step 6: Final answer
    x = 1,340,819.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.