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Finding the Third Proportional to 269,188 and 591,444

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Solution

The third proportional to 269,188 and 591,444 is: 1,299,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,188 : 591,444 = 591,444 : x
  2. Step 2: Convert to fraction form
    269,188/591,444 = 591,444/x
  3. Step 3: Cross multiply
    269,188x = 591,444 × 591,444
  4. Step 4: Simplify right side
    269,188x = 349,806,005,136
  5. Step 5: Solve for x
    x = 349,806,005,136/269,188
  6. Step 6: Final answer
    x = 1,299,485.88

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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.