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Finding the Third Proportional to 407,277 and 894,683.25

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Solution

The third proportional to 407,277 and 894,683.25 is: 1,965,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,277 : 894,683.25 = 894,683.25 : x
  2. Step 2: Convert to fraction form
    407,277/894,683.25 = 894,683.25/x
  3. Step 3: Cross multiply
    407,277x = 894,683.25 × 894,683.25
  4. Step 4: Simplify right side
    407,277x = 800,458,117,830.56
  5. Step 5: Solve for x
    x = 800,458,117,830.56/407,277
  6. Step 6: Final answer
    x = 1,965,389.94

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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.