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Finding the Third Proportional to 269,185 and 591,439

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Solution

The third proportional to 269,185 and 591,439 is: 1,299,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,185 : 591,439 = 591,439 : x
  2. Step 2: Convert to fraction form
    269,185/591,439 = 591,439/x
  3. Step 3: Cross multiply
    269,185x = 591,439 × 591,439
  4. Step 4: Simplify right side
    269,185x = 349,800,090,721
  5. Step 5: Solve for x
    x = 349,800,090,721/269,185
  6. Step 6: Final answer
    x = 1,299,478.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.