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Finding the Third Proportional to 269,187 and 591,443

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Solution

The third proportional to 269,187 and 591,443 is: 1,299,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187 : 591,443 = 591,443 : x
  2. Step 2: Convert to fraction form
    269,187/591,443 = 591,443/x
  3. Step 3: Cross multiply
    269,187x = 591,443 × 591,443
  4. Step 4: Simplify right side
    269,187x = 349,804,822,249
  5. Step 5: Solve for x
    x = 349,804,822,249/269,187
  6. Step 6: Final answer
    x = 1,299,486.31

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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.