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Finding the Third Proportional to 259,416 and 558,852

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Solution

The third proportional to 259,416 and 558,852 is: 1,203,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416 : 558,852 = 558,852 : x
  2. Step 2: Convert to fraction form
    259,416/558,852 = 558,852/x
  3. Step 3: Cross multiply
    259,416x = 558,852 × 558,852
  4. Step 4: Simplify right side
    259,416x = 312,315,557,904
  5. Step 5: Solve for x
    x = 312,315,557,904/259,416
  6. Step 6: Final answer
    x = 1,203,917.87

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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.