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Finding the Third Proportional to 259,758 and 558,360

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Solution

The third proportional to 259,758 and 558,360 is: 1,200,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,758 : 558,360 = 558,360 : x
  2. Step 2: Convert to fraction form
    259,758/558,360 = 558,360/x
  3. Step 3: Cross multiply
    259,758x = 558,360 × 558,360
  4. Step 4: Simplify right side
    259,758x = 311,765,889,600
  5. Step 5: Solve for x
    x = 311,765,889,600/259,758
  6. Step 6: Final answer
    x = 1,200,216.70

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