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Finding the Third Proportional to 269,268 and 590,760

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Solution

The third proportional to 269,268 and 590,760 is: 1,296,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,268 : 590,760 = 590,760 : x
  2. Step 2: Convert to fraction form
    269,268/590,760 = 590,760/x
  3. Step 3: Cross multiply
    269,268x = 590,760 × 590,760
  4. Step 4: Simplify right side
    269,268x = 348,997,377,600
  5. Step 5: Solve for x
    x = 348,997,377,600/269,268
  6. Step 6: Final answer
    x = 1,296,096.74

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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.