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Finding the Third Proportional to 270,627.75 and 412,324.88

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Solution

The third proportional to 270,627.75 and 412,324.88 is: 628,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,627.75 : 412,324.88 = 412,324.88 : x
  2. Step 2: Convert to fraction form
    270,627.75/412,324.88 = 412,324.88/x
  3. Step 3: Cross multiply
    270,627.75x = 412,324.88 × 412,324.88
  4. Step 4: Simplify right side
    270,627.75x = 170,011,802,543.77
  5. Step 5: Solve for x
    x = 170,011,802,543.77/270,627.75
  6. Step 6: Final answer
    x = 628,212.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.