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Finding the Third Proportional to 296,298 and 650,268

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Solution

The third proportional to 296,298 and 650,268 is: 1,427,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,298 : 650,268 = 650,268 : x
  2. Step 2: Convert to fraction form
    296,298/650,268 = 650,268/x
  3. Step 3: Cross multiply
    296,298x = 650,268 × 650,268
  4. Step 4: Simplify right side
    296,298x = 422,848,471,824
  5. Step 5: Solve for x
    x = 422,848,471,824/296,298
  6. Step 6: Final answer
    x = 1,427,105.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.