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Finding the Third Proportional to 288,726 and 595,759

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Solution

The third proportional to 288,726 and 595,759 is: 1,229,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726 : 595,759 = 595,759 : x
  2. Step 2: Convert to fraction form
    288,726/595,759 = 595,759/x
  3. Step 3: Cross multiply
    288,726x = 595,759 × 595,759
  4. Step 4: Simplify right side
    288,726x = 354,928,786,081
  5. Step 5: Solve for x
    x = 354,928,786,081/288,726
  6. Step 6: Final answer
    x = 1,229,292.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.