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Finding the Third Proportional to 269,738 and 590,271

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Solution

The third proportional to 269,738 and 590,271 is: 1,291,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,738 : 590,271 = 590,271 : x
  2. Step 2: Convert to fraction form
    269,738/590,271 = 590,271/x
  3. Step 3: Cross multiply
    269,738x = 590,271 × 590,271
  4. Step 4: Simplify right side
    269,738x = 348,419,853,441
  5. Step 5: Solve for x
    x = 348,419,853,441/269,738
  6. Step 6: Final answer
    x = 1,291,697.33

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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.