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Finding the Third Proportional to 259,874 and 559,852

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Solution

The third proportional to 259,874 and 559,852 is: 1,206,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,874 : 559,852 = 559,852 : x
  2. Step 2: Convert to fraction form
    259,874/559,852 = 559,852/x
  3. Step 3: Cross multiply
    259,874x = 559,852 × 559,852
  4. Step 4: Simplify right side
    259,874x = 313,434,261,904
  5. Step 5: Solve for x
    x = 313,434,261,904/259,874
  6. Step 6: Final answer
    x = 1,206,100.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.