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Finding the Third Proportional to 525,498.75 and 1,149,149.25

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Solution

The third proportional to 525,498.75 and 1,149,149.25 is: 2,512,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,498.75 : 1,149,149.25 = 1,149,149.25 : x
  2. Step 2: Convert to fraction form
    525,498.75/1,149,149.25 = 1,149,149.25/x
  3. Step 3: Cross multiply
    525,498.75x = 1,149,149.25 × 1,149,149.25
  4. Step 4: Simplify right side
    525,498.75x = 1,320,543,998,775.56
  5. Step 5: Solve for x
    x = 1,320,543,998,775.56/525,498.75
  6. Step 6: Final answer
    x = 2,512,934.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.