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Finding the Third Proportional to 414,448 and 624,912

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Solution

The third proportional to 414,448 and 624,912 is: 942,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448 : 624,912 = 624,912 : x
  2. Step 2: Convert to fraction form
    414,448/624,912 = 624,912/x
  3. Step 3: Cross multiply
    414,448x = 624,912 × 624,912
  4. Step 4: Simplify right side
    414,448x = 390,515,007,744
  5. Step 5: Solve for x
    x = 390,515,007,744/414,448
  6. Step 6: Final answer
    x = 942,253.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.