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Finding the Third Proportional to 240,531.75 and 522,645.75

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Solution

The third proportional to 240,531.75 and 522,645.75 is: 1,135,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,531.75 : 522,645.75 = 522,645.75 : x
  2. Step 2: Convert to fraction form
    240,531.75/522,645.75 = 522,645.75/x
  3. Step 3: Cross multiply
    240,531.75x = 522,645.75 × 522,645.75
  4. Step 4: Simplify right side
    240,531.75x = 273,158,579,993.06
  5. Step 5: Solve for x
    x = 273,158,579,993.06/240,531.75
  6. Step 6: Final answer
    x = 1,135,644.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.