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Finding the Third Proportional to 414,696 and 621,936

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Solution

The third proportional to 414,696 and 621,936 is: 932,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,696 : 621,936 = 621,936 : x
  2. Step 2: Convert to fraction form
    414,696/621,936 = 621,936/x
  3. Step 3: Cross multiply
    414,696x = 621,936 × 621,936
  4. Step 4: Simplify right side
    414,696x = 386,804,388,096
  5. Step 5: Solve for x
    x = 386,804,388,096/414,696
  6. Step 6: Final answer
    x = 932,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.