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Finding the Third Proportional to 269,190 and 591,448

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Solution

The third proportional to 269,190 and 591,448 is: 1,299,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,190 : 591,448 = 591,448 : x
  2. Step 2: Convert to fraction form
    269,190/591,448 = 591,448/x
  3. Step 3: Cross multiply
    269,190x = 591,448 × 591,448
  4. Step 4: Simplify right side
    269,190x = 349,810,736,704
  5. Step 5: Solve for x
    x = 349,810,736,704/269,190
  6. Step 6: Final answer
    x = 1,299,493.80

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