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Finding the Third Proportional to 267,628.75 and 409,919.75

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Solution

The third proportional to 267,628.75 and 409,919.75 is: 627,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,628.75 : 409,919.75 = 409,919.75 : x
  2. Step 2: Convert to fraction form
    267,628.75/409,919.75 = 409,919.75/x
  3. Step 3: Cross multiply
    267,628.75x = 409,919.75 × 409,919.75
  4. Step 4: Simplify right side
    267,628.75x = 168,034,201,440.06
  5. Step 5: Solve for x
    x = 168,034,201,440.06/267,628.75
  6. Step 6: Final answer
    x = 627,863.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.