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Finding the Third Proportional to 407,153.25 and 894,611.25

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Solution

The third proportional to 407,153.25 and 894,611.25 is: 1,965,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,153.25 : 894,611.25 = 894,611.25 : x
  2. Step 2: Convert to fraction form
    407,153.25/894,611.25 = 894,611.25/x
  3. Step 3: Cross multiply
    407,153.25x = 894,611.25 × 894,611.25
  4. Step 4: Simplify right side
    407,153.25x = 800,329,288,626.56
  5. Step 5: Solve for x
    x = 800,329,288,626.56/407,153.25
  6. Step 6: Final answer
    x = 1,965,670.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.