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Finding the Third Proportional to 259,410.75 and 558,842.25

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Solution

The third proportional to 259,410.75 and 558,842.25 is: 1,203,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.75 : 558,842.25 = 558,842.25 : x
  2. Step 2: Convert to fraction form
    259,410.75/558,842.25 = 558,842.25/x
  3. Step 3: Cross multiply
    259,410.75x = 558,842.25 × 558,842.25
  4. Step 4: Simplify right side
    259,410.75x = 312,304,660,385.06
  5. Step 5: Solve for x
    x = 312,304,660,385.06/259,410.75
  6. Step 6: Final answer
    x = 1,203,900.23

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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.