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Finding the Third Proportional to 259,416 and 558,850.50

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Solution

The third proportional to 259,416 and 558,850.50 is: 1,203,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416 : 558,850.50 = 558,850.50 : x
  2. Step 2: Convert to fraction form
    259,416/558,850.50 = 558,850.50/x
  3. Step 3: Cross multiply
    259,416x = 558,850.50 × 558,850.50
  4. Step 4: Simplify right side
    259,416x = 312,313,881,350.25
  5. Step 5: Solve for x
    x = 312,313,881,350.25/259,416
  6. Step 6: Final answer
    x = 1,203,911.41

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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.