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Finding the Third Proportional to 401,199.75 and 874,366.88

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Solution

The third proportional to 401,199.75 and 874,366.88 is: 1,905,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,199.75 : 874,366.88 = 874,366.88 : x
  2. Step 2: Convert to fraction form
    401,199.75/874,366.88 = 874,366.88/x
  3. Step 3: Cross multiply
    401,199.75x = 874,366.88 × 874,366.88
  4. Step 4: Simplify right side
    401,199.75x = 764,517,432,097.27
  5. Step 5: Solve for x
    x = 764,517,432,097.27/401,199.75
  6. Step 6: Final answer
    x = 1,905,578.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.