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Finding the Third Proportional to 259,073.75 and 557,513.75

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Solution

The third proportional to 259,073.75 and 557,513.75 is: 1,199,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,073.75 : 557,513.75 = 557,513.75 : x
  2. Step 2: Convert to fraction form
    259,073.75/557,513.75 = 557,513.75/x
  3. Step 3: Cross multiply
    259,073.75x = 557,513.75 × 557,513.75
  4. Step 4: Simplify right side
    259,073.75x = 310,821,581,439.06
  5. Step 5: Solve for x
    x = 310,821,581,439.06/259,073.75
  6. Step 6: Final answer
    x = 1,199,741.70

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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.